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Finding the Fourth Proportional to 38,952, 53,742.24 and 22,592.64

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Solution

The fourth proportional to 38,952, 53,742.24 and 22,592.64 is: 31,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952 : 53,742.24 = 22,592.64 : x
  2. Step 2: Convert to fraction form
    38,952/53,742.24 = 22,592.64/x
  3. Step 3: Cross multiply
    38,952x = 53,742.24 × 22,592.64
  4. Step 4: Simplify right side
    38,952x = 1,214,179,081.11
  5. Step 5: Solve for x
    x = 1,214,179,081.11/38,952
  6. Step 6: Final answer
    x = 31,171.16

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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.