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Finding the Fourth Proportional to 30,475.20, 45,654.48 and 20,565.66

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Solution

The fourth proportional to 30,475.20, 45,654.48 and 20,565.66 is: 30,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.20 : 45,654.48 = 20,565.66 : x
  2. Step 2: Convert to fraction form
    30,475.20/45,654.48 = 20,565.66/x
  3. Step 3: Cross multiply
    30,475.20x = 45,654.48 × 20,565.66
  4. Step 4: Simplify right side
    30,475.20x = 938,914,513.16
  5. Step 5: Solve for x
    x = 938,914,513.16/30,475.20
  6. Step 6: Final answer
    x = 30,809.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.