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Finding the Fourth Proportional to 47,713.10, 71,569.65 and 45,744.80

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Solution

The fourth proportional to 47,713.10, 71,569.65 and 45,744.80 is: 68,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.10 : 71,569.65 = 45,744.80 : x
  2. Step 2: Convert to fraction form
    47,713.10/71,569.65 = 45,744.80/x
  3. Step 3: Cross multiply
    47,713.10x = 71,569.65 × 45,744.80
  4. Step 4: Simplify right side
    47,713.10x = 3,273,939,325.32
  5. Step 5: Solve for x
    x = 3,273,939,325.32/47,713.10
  6. Step 6: Final answer
    x = 68,617.20

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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.