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Finding the Fourth Proportional to 42,480.41, 63,967.61 and 31,465.22

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Solution

The fourth proportional to 42,480.41, 63,967.61 and 31,465.22 is: 47,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,480.41 : 63,967.61 = 31,465.22 : x
  2. Step 2: Convert to fraction form
    42,480.41/63,967.61 = 31,465.22/x
  3. Step 3: Cross multiply
    42,480.41x = 63,967.61 × 31,465.22
  4. Step 4: Simplify right side
    42,480.41x = 2,012,754,680.35
  5. Step 5: Solve for x
    x = 2,012,754,680.35/42,480.41
  6. Step 6: Final answer
    x = 47,380.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.