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Finding the Fourth Proportional to 38,068, 52,533.84 and 21,304.24

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Solution

The fourth proportional to 38,068, 52,533.84 and 21,304.24 is: 29,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,068 : 52,533.84 = 21,304.24 : x
  2. Step 2: Convert to fraction form
    38,068/52,533.84 = 21,304.24/x
  3. Step 3: Cross multiply
    38,068x = 52,533.84 × 21,304.24
  4. Step 4: Simplify right side
    38,068x = 1,119,193,535.48
  5. Step 5: Solve for x
    x = 1,119,193,535.48/38,068
  6. Step 6: Final answer
    x = 29,399.85

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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.