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Finding the Fourth Proportional to 47,711.20, 66,708.20 and 47,711.20

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Solution

The fourth proportional to 47,711.20, 66,708.20 and 47,711.20 is: 66,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.20 : 66,708.20 = 47,711.20 : x
  2. Step 2: Convert to fraction form
    47,711.20/66,708.20 = 47,711.20/x
  3. Step 3: Cross multiply
    47,711.20x = 66,708.20 × 47,711.20
  4. Step 4: Simplify right side
    47,711.20x = 3,182,728,271.84
  5. Step 5: Solve for x
    x = 3,182,728,271.84/47,711.20
  6. Step 6: Final answer
    x = 66,708.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.