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Finding the Fourth Proportional to 32,354.64, 48,515.76 and 14,809.50

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Solution

The fourth proportional to 32,354.64, 48,515.76 and 14,809.50 is: 22,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.64 : 48,515.76 = 14,809.50 : x
  2. Step 2: Convert to fraction form
    32,354.64/48,515.76 = 14,809.50/x
  3. Step 3: Cross multiply
    32,354.64x = 48,515.76 × 14,809.50
  4. Step 4: Simplify right side
    32,354.64x = 718,494,147.72
  5. Step 5: Solve for x
    x = 718,494,147.72/32,354.64
  6. Step 6: Final answer
    x = 22,206.83

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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.