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Finding the Fourth Proportional to 71,471.84, 98,641.10 and 41,256.62

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Solution

The fourth proportional to 71,471.84, 98,641.10 and 41,256.62 is: 56,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.84 : 98,641.10 = 41,256.62 : x
  2. Step 2: Convert to fraction form
    71,471.84/98,641.10 = 41,256.62/x
  3. Step 3: Cross multiply
    71,471.84x = 98,641.10 × 41,256.62
  4. Step 4: Simplify right side
    71,471.84x = 4,069,598,139.51
  5. Step 5: Solve for x
    x = 4,069,598,139.51/71,471.84
  6. Step 6: Final answer
    x = 56,939.88

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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.