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Finding the Fourth Proportional to 102,506.52, 153,760.80 and 35,948.28

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Solution

The fourth proportional to 102,506.52, 153,760.80 and 35,948.28 is: 53,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.52 : 153,760.80 = 35,948.28 : x
  2. Step 2: Convert to fraction form
    102,506.52/153,760.80 = 35,948.28/x
  3. Step 3: Cross multiply
    102,506.52x = 153,760.80 × 35,948.28
  4. Step 4: Simplify right side
    102,506.52x = 5,527,436,291.42
  5. Step 5: Solve for x
    x = 5,527,436,291.42/102,506.52
  6. Step 6: Final answer
    x = 53,922.78

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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.