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Finding the Fourth Proportional to 20,038.59, 30,057.48 and 5,248.40

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Solution

The fourth proportional to 20,038.59, 30,057.48 and 5,248.40 is: 7,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.59 : 30,057.48 = 5,248.40 : x
  2. Step 2: Convert to fraction form
    20,038.59/30,057.48 = 5,248.40/x
  3. Step 3: Cross multiply
    20,038.59x = 30,057.48 × 5,248.40
  4. Step 4: Simplify right side
    20,038.59x = 157,753,527.74
  5. Step 5: Solve for x
    x = 157,753,527.74/20,038.59
  6. Step 6: Final answer
    x = 7,872.49

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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.