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Finding the Fourth Proportional to 86,038, 129,061.86 and 30,634

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Solution

The fourth proportional to 86,038, 129,061.86 and 30,634 is: 45,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 129,061.86 = 30,634 : x
  2. Step 2: Convert to fraction form
    86,038/129,061.86 = 30,634/x
  3. Step 3: Cross multiply
    86,038x = 129,061.86 × 30,634
  4. Step 4: Simplify right side
    86,038x = 3,953,681,019.24
  5. Step 5: Solve for x
    x = 3,953,681,019.24/86,038
  6. Step 6: Final answer
    x = 45,952.73

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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.