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Finding the Fourth Proportional to 32,574,200.40, 48,866,830.20 and 9,854,917.20

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Solution

The fourth proportional to 32,574,200.40, 48,866,830.20 and 9,854,917.20 is: 14,784,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574,200.40 : 48,866,830.20 = 9,854,917.20 : x
  2. Step 2: Convert to fraction form
    32,574,200.40/48,866,830.20 = 9,854,917.20/x
  3. Step 3: Cross multiply
    32,574,200.40x = 48,866,830.20 × 9,854,917.20
  4. Step 4: Simplify right side
    32,574,200.40x = 481,578,565,447,459.44
  5. Step 5: Solve for x
    x = 481,578,565,447,459.44/32,574,200.40
  6. Step 6: Final answer
    x = 14,784,048.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.