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Finding the Fourth Proportional to 30,655.38, 45,959.76 and 15,854.87

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Solution

The fourth proportional to 30,655.38, 45,959.76 and 15,854.87 is: 23,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.38 : 45,959.76 = 15,854.87 : x
  2. Step 2: Convert to fraction form
    30,655.38/45,959.76 = 15,854.87/x
  3. Step 3: Cross multiply
    30,655.38x = 45,959.76 × 15,854.87
  4. Step 4: Simplify right side
    30,655.38x = 728,686,020.03
  5. Step 5: Solve for x
    x = 728,686,020.03/30,655.38
  6. Step 6: Final answer
    x = 23,770.25

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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.