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Finding the Fourth Proportional to 102,542.40, 153,842.40 and 49,953.60

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Solution

The fourth proportional to 102,542.40, 153,842.40 and 49,953.60 is: 74,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,542.40 : 153,842.40 = 49,953.60 : x
  2. Step 2: Convert to fraction form
    102,542.40/153,842.40 = 49,953.60/x
  3. Step 3: Cross multiply
    102,542.40x = 153,842.40 × 49,953.60
  4. Step 4: Simplify right side
    102,542.40x = 7,684,981,712.64
  5. Step 5: Solve for x
    x = 7,684,981,712.64/102,542.40
  6. Step 6: Final answer
    x = 74,944.43

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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.