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Finding the Fourth Proportional to 38,487.32, 53,116.86 and 21,719

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Solution

The fourth proportional to 38,487.32, 53,116.86 and 21,719 is: 29,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,487.32 : 53,116.86 = 21,719 : x
  2. Step 2: Convert to fraction form
    38,487.32/53,116.86 = 21,719/x
  3. Step 3: Cross multiply
    38,487.32x = 53,116.86 × 21,719
  4. Step 4: Simplify right side
    38,487.32x = 1,153,645,082.34
  5. Step 5: Solve for x
    x = 1,153,645,082.34/38,487.32
  6. Step 6: Final answer
    x = 29,974.68

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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.