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Finding the Fourth Proportional to 102,463.36, 153,772.92 and 49,906.24

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Solution

The fourth proportional to 102,463.36, 153,772.92 and 49,906.24 is: 74,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463.36 : 153,772.92 = 49,906.24 : x
  2. Step 2: Convert to fraction form
    102,463.36/153,772.92 = 49,906.24/x
  3. Step 3: Cross multiply
    102,463.36x = 153,772.92 × 49,906.24
  4. Step 4: Simplify right side
    102,463.36x = 7,674,228,251.02
  5. Step 5: Solve for x
    x = 7,674,228,251.02/102,463.36
  6. Step 6: Final answer
    x = 74,897.29

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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.