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Finding the Fourth Proportional to 65,262, 90,061.56 and 38,766

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Solution

The fourth proportional to 65,262, 90,061.56 and 38,766 is: 53,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 90,061.56 = 38,766 : x
  2. Step 2: Convert to fraction form
    65,262/90,061.56 = 38,766/x
  3. Step 3: Cross multiply
    65,262x = 90,061.56 × 38,766
  4. Step 4: Simplify right side
    65,262x = 3,491,326,434.96
  5. Step 5: Solve for x
    x = 3,491,326,434.96/65,262
  6. Step 6: Final answer
    x = 53,497.08

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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.