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Finding the Fourth Proportional to 31,335.69, 47,017.34 and 12,652.17

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Solution

The fourth proportional to 31,335.69, 47,017.34 and 12,652.17 is: 18,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.69 : 47,017.34 = 12,652.17 : x
  2. Step 2: Convert to fraction form
    31,335.69/47,017.34 = 12,652.17/x
  3. Step 3: Cross multiply
    31,335.69x = 47,017.34 × 12,652.17
  4. Step 4: Simplify right side
    31,335.69x = 594,871,378.63
  5. Step 5: Solve for x
    x = 594,871,378.63/31,335.69
  6. Step 6: Final answer
    x = 18,983.83

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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.