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Finding the Fourth Proportional to 48,653.50, 72,885.84 and 31,962.88

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Solution

The fourth proportional to 48,653.50, 72,885.84 and 31,962.88 is: 47,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,653.50 : 72,885.84 = 31,962.88 : x
  2. Step 2: Convert to fraction form
    48,653.50/72,885.84 = 31,962.88/x
  3. Step 3: Cross multiply
    48,653.50x = 72,885.84 × 31,962.88
  4. Step 4: Simplify right side
    48,653.50x = 2,329,641,357.62
  5. Step 5: Solve for x
    x = 2,329,641,357.62/48,653.50
  6. Step 6: Final answer
    x = 47,882.30

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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.