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Finding the Fourth Proportional to 113,152.78, 169,747.53 and 38,277.48

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Solution

The fourth proportional to 113,152.78, 169,747.53 and 38,277.48 is: 57,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,152.78 : 169,747.53 = 38,277.48 : x
  2. Step 2: Convert to fraction form
    113,152.78/169,747.53 = 38,277.48/x
  3. Step 3: Cross multiply
    113,152.78x = 169,747.53 × 38,277.48
  4. Step 4: Simplify right side
    113,152.78x = 6,497,507,684.62
  5. Step 5: Solve for x
    x = 6,497,507,684.62/113,152.78
  6. Step 6: Final answer
    x = 57,422.43

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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.