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Finding the Fourth Proportional to 105,087.66, 145,024.16 and 59,772.15

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Solution

The fourth proportional to 105,087.66, 145,024.16 and 59,772.15 is: 82,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,087.66 : 145,024.16 = 59,772.15 : x
  2. Step 2: Convert to fraction form
    105,087.66/145,024.16 = 59,772.15/x
  3. Step 3: Cross multiply
    105,087.66x = 145,024.16 × 59,772.15
  4. Step 4: Simplify right side
    105,087.66x = 8,668,406,314.27
  5. Step 5: Solve for x
    x = 8,668,406,314.27/105,087.66
  6. Step 6: Final answer
    x = 82,487.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.