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Finding the Fourth Proportional to 30,691.02, 45,977.25 and 25,701.42

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Solution

The fourth proportional to 30,691.02, 45,977.25 and 25,701.42 is: 38,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.02 : 45,977.25 = 25,701.42 : x
  2. Step 2: Convert to fraction form
    30,691.02/45,977.25 = 25,701.42/x
  3. Step 3: Cross multiply
    30,691.02x = 45,977.25 × 25,701.42
  4. Step 4: Simplify right side
    30,691.02x = 1,181,680,612.70
  5. Step 5: Solve for x
    x = 1,181,680,612.70/30,691.02
  6. Step 6: Final answer
    x = 38,502.49

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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.