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Finding the Fourth Proportional to 38,781.40, 53,523.38 and 23,670.92

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Solution

The fourth proportional to 38,781.40, 53,523.38 and 23,670.92 is: 32,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.40 : 53,523.38 = 23,670.92 : x
  2. Step 2: Convert to fraction form
    38,781.40/53,523.38 = 23,670.92/x
  3. Step 3: Cross multiply
    38,781.40x = 53,523.38 × 23,670.92
  4. Step 4: Simplify right side
    38,781.40x = 1,266,947,646.11
  5. Step 5: Solve for x
    x = 1,266,947,646.11/38,781.40
  6. Step 6: Final answer
    x = 32,668.95

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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.