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Finding the Fourth Proportional to 52,514.31, 72,530.24 and 38,238

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Solution

The fourth proportional to 52,514.31, 72,530.24 and 38,238 is: 52,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514.31 : 72,530.24 = 38,238 : x
  2. Step 2: Convert to fraction form
    52,514.31/72,530.24 = 38,238/x
  3. Step 3: Cross multiply
    52,514.31x = 72,530.24 × 38,238
  4. Step 4: Simplify right side
    52,514.31x = 2,773,411,317.12
  5. Step 5: Solve for x
    x = 2,773,411,317.12/52,514.31
  6. Step 6: Final answer
    x = 52,812.49

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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.