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Finding the Fourth Proportional to 65,407.38, 90,279.44 and 38,567.76

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Solution

The fourth proportional to 65,407.38, 90,279.44 and 38,567.76 is: 53,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.38 : 90,279.44 = 38,567.76 : x
  2. Step 2: Convert to fraction form
    65,407.38/90,279.44 = 38,567.76/x
  3. Step 3: Cross multiply
    65,407.38x = 90,279.44 × 38,567.76
  4. Step 4: Simplify right side
    65,407.38x = 3,481,875,582.02
  5. Step 5: Solve for x
    x = 3,481,875,582.02/65,407.38
  6. Step 6: Final answer
    x = 53,233.68

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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.