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Finding the Fourth Proportional to 38,501.52, 53,132.96 and 22,597.44

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Solution

The fourth proportional to 38,501.52, 53,132.96 and 22,597.44 is: 31,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.52 : 53,132.96 = 22,597.44 : x
  2. Step 2: Convert to fraction form
    38,501.52/53,132.96 = 22,597.44/x
  3. Step 3: Cross multiply
    38,501.52x = 53,132.96 × 22,597.44
  4. Step 4: Simplify right side
    38,501.52x = 1,200,668,875.62
  5. Step 5: Solve for x
    x = 1,200,668,875.62/38,501.52
  6. Step 6: Final answer
    x = 31,184.97

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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.