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Finding the Fourth Proportional to 32,407.32, 48,572.78 and 14,617.16

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Solution

The fourth proportional to 32,407.32, 48,572.78 and 14,617.16 is: 21,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.32 : 48,572.78 = 14,617.16 : x
  2. Step 2: Convert to fraction form
    32,407.32/48,572.78 = 14,617.16/x
  3. Step 3: Cross multiply
    32,407.32x = 48,572.78 × 14,617.16
  4. Step 4: Simplify right side
    32,407.32x = 709,995,963.10
  5. Step 5: Solve for x
    x = 709,995,963.10/32,407.32
  6. Step 6: Final answer
    x = 21,908.50

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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.