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Finding the Fourth Proportional to 99,807.12, 149,718.78 and 29,686.50

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Solution

The fourth proportional to 99,807.12, 149,718.78 and 29,686.50 is: 44,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,807.12 : 149,718.78 = 29,686.50 : x
  2. Step 2: Convert to fraction form
    99,807.12/149,718.78 = 29,686.50/x
  3. Step 3: Cross multiply
    99,807.12x = 149,718.78 × 29,686.50
  4. Step 4: Simplify right side
    99,807.12x = 4,444,626,562.47
  5. Step 5: Solve for x
    x = 4,444,626,562.47/99,807.12
  6. Step 6: Final answer
    x = 44,532.16

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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.