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Finding the Fourth Proportional to 48,597.16, 72,926.46 and 27,861.16

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Solution

The fourth proportional to 48,597.16, 72,926.46 and 27,861.16 is: 41,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597.16 : 72,926.46 = 27,861.16 : x
  2. Step 2: Convert to fraction form
    48,597.16/72,926.46 = 27,861.16/x
  3. Step 3: Cross multiply
    48,597.16x = 72,926.46 × 27,861.16
  4. Step 4: Simplify right side
    48,597.16x = 2,031,815,770.29
  5. Step 5: Solve for x
    x = 2,031,815,770.29/48,597.16
  6. Step 6: Final answer
    x = 41,809.35

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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.