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Finding the Fourth Proportional to 102,505.52, 153,759.28 and 35,947.28

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Solution

The fourth proportional to 102,505.52, 153,759.28 and 35,947.28 is: 53,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.52 : 153,759.28 = 35,947.28 : x
  2. Step 2: Convert to fraction form
    102,505.52/153,759.28 = 35,947.28/x
  3. Step 3: Cross multiply
    102,505.52x = 153,759.28 × 35,947.28
  4. Step 4: Simplify right side
    102,505.52x = 5,527,227,890.76
  5. Step 5: Solve for x
    x = 5,527,227,890.76/102,505.52
  6. Step 6: Final answer
    x = 53,921.27

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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.