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Finding the Fourth Proportional to 102,395.52, 153,612.99 and 35,854.56

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Solution

The fourth proportional to 102,395.52, 153,612.99 and 35,854.56 is: 53,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.52 : 153,612.99 = 35,854.56 : x
  2. Step 2: Convert to fraction form
    102,395.52/153,612.99 = 35,854.56/x
  3. Step 3: Cross multiply
    102,395.52x = 153,612.99 × 35,854.56
  4. Step 4: Simplify right side
    102,395.52x = 5,507,726,166.73
  5. Step 5: Solve for x
    x = 5,507,726,166.73/102,395.52
  6. Step 6: Final answer
    x = 53,788.74

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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.