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Finding the Fourth Proportional to 99,253.44, 136,969.92 and 53,931

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Solution

The fourth proportional to 99,253.44, 136,969.92 and 53,931 is: 74,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,253.44 : 136,969.92 = 53,931 : x
  2. Step 2: Convert to fraction form
    99,253.44/136,969.92 = 53,931/x
  3. Step 3: Cross multiply
    99,253.44x = 136,969.92 × 53,931
  4. Step 4: Simplify right side
    99,253.44x = 7,386,924,755.52
  5. Step 5: Solve for x
    x = 7,386,924,755.52/99,253.44
  6. Step 6: Final answer
    x = 74,424.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.