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Finding the Fourth Proportional to 83,434.68, 125,064.54 and 39,024

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Solution

The fourth proportional to 83,434.68, 125,064.54 and 39,024 is: 58,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434.68 : 125,064.54 = 39,024 : x
  2. Step 2: Convert to fraction form
    83,434.68/125,064.54 = 39,024/x
  3. Step 3: Cross multiply
    83,434.68x = 125,064.54 × 39,024
  4. Step 4: Simplify right side
    83,434.68x = 4,880,518,608.96
  5. Step 5: Solve for x
    x = 4,880,518,608.96/83,434.68
  6. Step 6: Final answer
    x = 58,495.08

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