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Finding the Fourth Proportional to 48,902.04, 67,484.88 and 27,688.14

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Solution

The fourth proportional to 48,902.04, 67,484.88 and 27,688.14 is: 38,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.04 : 67,484.88 = 27,688.14 : x
  2. Step 2: Convert to fraction form
    48,902.04/67,484.88 = 27,688.14/x
  3. Step 3: Cross multiply
    48,902.04x = 67,484.88 × 27,688.14
  4. Step 4: Simplify right side
    48,902.04x = 1,868,530,805.32
  5. Step 5: Solve for x
    x = 1,868,530,805.32/48,902.04
  6. Step 6: Final answer
    x = 38,209.67

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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.