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Finding the Fourth Proportional to 31,415.32, 43,335.84 and 19,909.18

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Solution

The fourth proportional to 31,415.32, 43,335.84 and 19,909.18 is: 27,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.32 : 43,335.84 = 19,909.18 : x
  2. Step 2: Convert to fraction form
    31,415.32/43,335.84 = 19,909.18/x
  3. Step 3: Cross multiply
    31,415.32x = 43,335.84 × 19,909.18
  4. Step 4: Simplify right side
    31,415.32x = 862,781,039.01
  5. Step 5: Solve for x
    x = 862,781,039.01/31,415.32
  6. Step 6: Final answer
    x = 27,463.70

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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.