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Finding the Fourth Proportional to 52,508.40, 78,762.60 and 32,809.20

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Solution

The fourth proportional to 52,508.40, 78,762.60 and 32,809.20 is: 49,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.40 : 78,762.60 = 32,809.20 : x
  2. Step 2: Convert to fraction form
    52,508.40/78,762.60 = 32,809.20/x
  3. Step 3: Cross multiply
    52,508.40x = 78,762.60 × 32,809.20
  4. Step 4: Simplify right side
    52,508.40x = 2,584,137,895.92
  5. Step 5: Solve for x
    x = 2,584,137,895.92/52,508.40
  6. Step 6: Final answer
    x = 49,213.80

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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.