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Finding the Fourth Proportional to 48,902.32, 67,485.24 and 27,688.42

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Solution

The fourth proportional to 48,902.32, 67,485.24 and 27,688.42 is: 38,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.32 : 67,485.24 = 27,688.42 : x
  2. Step 2: Convert to fraction form
    48,902.32/67,485.24 = 27,688.42/x
  3. Step 3: Cross multiply
    48,902.32x = 67,485.24 × 27,688.42
  4. Step 4: Simplify right side
    48,902.32x = 1,868,559,668.92
  5. Step 5: Solve for x
    x = 1,868,559,668.92/48,902.32
  6. Step 6: Final answer
    x = 38,210.04

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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.