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Finding the Fourth Proportional to 38,505.68, 53,132.59 and 21,507.76

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Solution

The fourth proportional to 38,505.68, 53,132.59 and 21,507.76 is: 29,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.68 : 53,132.59 = 21,507.76 : x
  2. Step 2: Convert to fraction form
    38,505.68/53,132.59 = 21,507.76/x
  3. Step 3: Cross multiply
    38,505.68x = 53,132.59 × 21,507.76
  4. Step 4: Simplify right side
    38,505.68x = 1,142,763,087.20
  5. Step 5: Solve for x
    x = 1,142,763,087.20/38,505.68
  6. Step 6: Final answer
    x = 29,677.78

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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.