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Finding the Fourth Proportional to 71,541.60, 107,326.80 and 24,784.80

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Solution

The fourth proportional to 71,541.60, 107,326.80 and 24,784.80 is: 37,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,541.60 : 107,326.80 = 24,784.80 : x
  2. Step 2: Convert to fraction form
    71,541.60/107,326.80 = 24,784.80/x
  3. Step 3: Cross multiply
    71,541.60x = 107,326.80 × 24,784.80
  4. Step 4: Simplify right side
    71,541.60x = 2,660,073,272.64
  5. Step 5: Solve for x
    x = 2,660,073,272.64/71,541.60
  6. Step 6: Final answer
    x = 37,182.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.