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Finding the Fourth Proportional to 39,534, 59,301.06 and 16,160.40

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Solution

The fourth proportional to 39,534, 59,301.06 and 16,160.40 is: 24,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534 : 59,301.06 = 16,160.40 : x
  2. Step 2: Convert to fraction form
    39,534/59,301.06 = 16,160.40/x
  3. Step 3: Cross multiply
    39,534x = 59,301.06 × 16,160.40
  4. Step 4: Simplify right side
    39,534x = 958,328,850.02
  5. Step 5: Solve for x
    x = 958,328,850.02/39,534
  6. Step 6: Final answer
    x = 24,240.62

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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.