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Finding the Fourth Proportional to 31,781.51, 47,679.35 and 10,435.17

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Solution

The fourth proportional to 31,781.51, 47,679.35 and 10,435.17 is: 15,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.51 : 47,679.35 = 10,435.17 : x
  2. Step 2: Convert to fraction form
    31,781.51/47,679.35 = 10,435.17/x
  3. Step 3: Cross multiply
    31,781.51x = 47,679.35 × 10,435.17
  4. Step 4: Simplify right side
    31,781.51x = 497,542,070.56
  5. Step 5: Solve for x
    x = 497,542,070.56/31,781.51
  6. Step 6: Final answer
    x = 15,655.08

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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.