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Finding the Fourth Proportional to 102,476.83, 153,737.13 and 35,921.02

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Solution

The fourth proportional to 102,476.83, 153,737.13 and 35,921.02 is: 53,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476.83 : 153,737.13 = 35,921.02 : x
  2. Step 2: Convert to fraction form
    102,476.83/153,737.13 = 35,921.02/x
  3. Step 3: Cross multiply
    102,476.83x = 153,737.13 × 35,921.02
  4. Step 4: Simplify right side
    102,476.83x = 5,522,394,521.47
  5. Step 5: Solve for x
    x = 5,522,394,521.47/102,476.83
  6. Step 6: Final answer
    x = 53,889.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.