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Finding the Fourth Proportional to 38,496.57, 53,123.76 and 24,164.10

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Solution

The fourth proportional to 38,496.57, 53,123.76 and 24,164.10 is: 33,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.57 : 53,123.76 = 24,164.10 : x
  2. Step 2: Convert to fraction form
    38,496.57/53,123.76 = 24,164.10/x
  3. Step 3: Cross multiply
    38,496.57x = 53,123.76 × 24,164.10
  4. Step 4: Simplify right side
    38,496.57x = 1,283,687,583.40
  5. Step 5: Solve for x
    x = 1,283,687,583.40/38,496.57
  6. Step 6: Final answer
    x = 33,345.51

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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.