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Finding the Fourth Proportional to 115,733, 159,712.50 and 62,741

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Solution

The fourth proportional to 115,733, 159,712.50 and 62,741 is: 86,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,733 : 159,712.50 = 62,741 : x
  2. Step 2: Convert to fraction form
    115,733/159,712.50 = 62,741/x
  3. Step 3: Cross multiply
    115,733x = 159,712.50 × 62,741
  4. Step 4: Simplify right side
    115,733x = 10,020,521,962.50
  5. Step 5: Solve for x
    x = 10,020,521,962.50/115,733
  6. Step 6: Final answer
    x = 86,583.10

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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.