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Finding the Fourth Proportional to 48,765, 67,298.58 and 27,543.72

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Solution

The fourth proportional to 48,765, 67,298.58 and 27,543.72 is: 38,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765 : 67,298.58 = 27,543.72 : x
  2. Step 2: Convert to fraction form
    48,765/67,298.58 = 27,543.72/x
  3. Step 3: Cross multiply
    48,765x = 67,298.58 × 27,543.72
  4. Step 4: Simplify right side
    48,765x = 1,853,653,243.92
  5. Step 5: Solve for x
    x = 1,853,653,243.92/48,765
  6. Step 6: Final answer
    x = 38,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.