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Finding the Fourth Proportional to 99,129.50, 148,644.92 and 31,652.80

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Solution

The fourth proportional to 99,129.50, 148,644.92 and 31,652.80 is: 47,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,129.50 : 148,644.92 = 31,652.80 : x
  2. Step 2: Convert to fraction form
    99,129.50/148,644.92 = 31,652.80/x
  3. Step 3: Cross multiply
    99,129.50x = 148,644.92 × 31,652.80
  4. Step 4: Simplify right side
    99,129.50x = 4,705,028,049.36
  5. Step 5: Solve for x
    x = 4,705,028,049.36/99,129.50
  6. Step 6: Final answer
    x = 47,463.45

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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.