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Finding the Fourth Proportional to 38,046.48, 52,491.36 and 22,117.92

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Solution

The fourth proportional to 38,046.48, 52,491.36 and 22,117.92 is: 30,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.48 : 52,491.36 = 22,117.92 : x
  2. Step 2: Convert to fraction form
    38,046.48/52,491.36 = 22,117.92/x
  3. Step 3: Cross multiply
    38,046.48x = 52,491.36 × 22,117.92
  4. Step 4: Simplify right side
    38,046.48x = 1,160,999,701.17
  5. Step 5: Solve for x
    x = 1,160,999,701.17/38,046.48
  6. Step 6: Final answer
    x = 30,515.30

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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.