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Finding the Fourth Proportional to 31,901.34, 47,852.02 and 14,350.66

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Solution

The fourth proportional to 31,901.34, 47,852.02 and 14,350.66 is: 21,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.34 : 47,852.02 = 14,350.66 : x
  2. Step 2: Convert to fraction form
    31,901.34/47,852.02 = 14,350.66/x
  3. Step 3: Cross multiply
    31,901.34x = 47,852.02 × 14,350.66
  4. Step 4: Simplify right side
    31,901.34x = 686,708,069.33
  5. Step 5: Solve for x
    x = 686,708,069.33/31,901.34
  6. Step 6: Final answer
    x = 21,525.99

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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.