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Finding the Fourth Proportional to 47,547.70, 71,294.88 and 32,571.75

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Solution

The fourth proportional to 47,547.70, 71,294.88 and 32,571.75 is: 48,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547.70 : 71,294.88 = 32,571.75 : x
  2. Step 2: Convert to fraction form
    47,547.70/71,294.88 = 32,571.75/x
  3. Step 3: Cross multiply
    47,547.70x = 71,294.88 × 32,571.75
  4. Step 4: Simplify right side
    47,547.70x = 2,322,198,795.59
  5. Step 5: Solve for x
    x = 2,322,198,795.59/47,547.70
  6. Step 6: Final answer
    x = 48,839.35

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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.