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Finding the Fourth Proportional to 86,098.68, 129,138.30 and 29,929.32

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Solution

The fourth proportional to 86,098.68, 129,138.30 and 29,929.32 is: 44,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,098.68 : 129,138.30 = 29,929.32 : x
  2. Step 2: Convert to fraction form
    86,098.68/129,138.30 = 29,929.32/x
  3. Step 3: Cross multiply
    86,098.68x = 129,138.30 × 29,929.32
  4. Step 4: Simplify right side
    86,098.68x = 3,865,021,504.96
  5. Step 5: Solve for x
    x = 3,865,021,504.96/86,098.68
  6. Step 6: Final answer
    x = 44,890.60

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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.