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Finding the Fourth Proportional to 71,575.71, 98,719.74 and 48,623.24

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Solution

The fourth proportional to 71,575.71, 98,719.74 and 48,623.24 is: 67,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,575.71 : 98,719.74 = 48,623.24 : x
  2. Step 2: Convert to fraction form
    71,575.71/98,719.74 = 48,623.24/x
  3. Step 3: Cross multiply
    71,575.71x = 98,719.74 × 48,623.24
  4. Step 4: Simplify right side
    71,575.71x = 4,800,073,117.16
  5. Step 5: Solve for x
    x = 4,800,073,117.16/71,575.71
  6. Step 6: Final answer
    x = 67,062.88

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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.