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Finding the Fourth Proportional to 30,497.20, 45,773.14 and 25,530.66

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Solution

The fourth proportional to 30,497.20, 45,773.14 and 25,530.66 is: 38,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.20 : 45,773.14 = 25,530.66 : x
  2. Step 2: Convert to fraction form
    30,497.20/45,773.14 = 25,530.66/x
  3. Step 3: Cross multiply
    30,497.20x = 45,773.14 × 25,530.66
  4. Step 4: Simplify right side
    30,497.20x = 1,168,618,530.32
  5. Step 5: Solve for x
    x = 1,168,618,530.32/30,497.20
  6. Step 6: Final answer
    x = 38,318.88

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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.