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Finding the Fourth Proportional to 115,704, 159,672.96 and 62,712

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Solution

The fourth proportional to 115,704, 159,672.96 and 62,712 is: 86,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,704 : 159,672.96 = 62,712 : x
  2. Step 2: Convert to fraction form
    115,704/159,672.96 = 62,712/x
  3. Step 3: Cross multiply
    115,704x = 159,672.96 × 62,712
  4. Step 4: Simplify right side
    115,704x = 10,013,410,667.52
  5. Step 5: Solve for x
    x = 10,013,410,667.52/115,704
  6. Step 6: Final answer
    x = 86,543.34

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