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Finding the Fourth Proportional to 34,701.40, 47,896.68 and 31,158.46

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Solution

The fourth proportional to 34,701.40, 47,896.68 and 31,158.46 is: 43,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.40 : 47,896.68 = 31,158.46 : x
  2. Step 2: Convert to fraction form
    34,701.40/47,896.68 = 31,158.46/x
  3. Step 3: Cross multiply
    34,701.40x = 47,896.68 × 31,158.46
  4. Step 4: Simplify right side
    34,701.40x = 1,492,386,787.91
  5. Step 5: Solve for x
    x = 1,492,386,787.91/34,701.40
  6. Step 6: Final answer
    x = 43,006.53

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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.