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Finding the Fourth Proportional to 47,252.80, 70,806.30 and 40,983.40

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Solution

The fourth proportional to 47,252.80, 70,806.30 and 40,983.40 is: 61,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,252.80 : 70,806.30 = 40,983.40 : x
  2. Step 2: Convert to fraction form
    47,252.80/70,806.30 = 40,983.40/x
  3. Step 3: Cross multiply
    47,252.80x = 70,806.30 × 40,983.40
  4. Step 4: Simplify right side
    47,252.80x = 2,901,882,915.42
  5. Step 5: Solve for x
    x = 2,901,882,915.42/47,252.80
  6. Step 6: Final answer
    x = 61,411.87

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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.