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Finding the Fourth Proportional to 30,732.65, 42,422.98 and 24,020.46

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Solution

The fourth proportional to 30,732.65, 42,422.98 and 24,020.46 is: 33,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.65 : 42,422.98 = 24,020.46 : x
  2. Step 2: Convert to fraction form
    30,732.65/42,422.98 = 24,020.46/x
  3. Step 3: Cross multiply
    30,732.65x = 42,422.98 × 24,020.46
  4. Step 4: Simplify right side
    30,732.65x = 1,019,019,494.17
  5. Step 5: Solve for x
    x = 1,019,019,494.17/30,732.65
  6. Step 6: Final answer
    x = 33,157.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.