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Finding the Fourth Proportional to 52,340.96, 72,206.70 and 31,108.16

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Solution

The fourth proportional to 52,340.96, 72,206.70 and 31,108.16 is: 42,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,340.96 : 72,206.70 = 31,108.16 : x
  2. Step 2: Convert to fraction form
    52,340.96/72,206.70 = 31,108.16/x
  3. Step 3: Cross multiply
    52,340.96x = 72,206.70 × 31,108.16
  4. Step 4: Simplify right side
    52,340.96x = 2,246,217,576.67
  5. Step 5: Solve for x
    x = 2,246,217,576.67/52,340.96
  6. Step 6: Final answer
    x = 42,915.10

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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.