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Finding the Fourth Proportional to 103,493.14, 155,129.16 and 59,024.14

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Solution

The fourth proportional to 103,493.14, 155,129.16 and 59,024.14 is: 88,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,493.14 : 155,129.16 = 59,024.14 : x
  2. Step 2: Convert to fraction form
    103,493.14/155,129.16 = 59,024.14/x
  3. Step 3: Cross multiply
    103,493.14x = 155,129.16 × 59,024.14
  4. Step 4: Simplify right side
    103,493.14x = 9,156,365,257.92
  5. Step 5: Solve for x
    x = 9,156,365,257.92/103,493.14
  6. Step 6: Final answer
    x = 88,473.16

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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.