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Finding the Fourth Proportional to 107,730, 161,612.51 and 31,836.24

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Solution

The fourth proportional to 107,730, 161,612.51 and 31,836.24 is: 47,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730 : 161,612.51 = 31,836.24 : x
  2. Step 2: Convert to fraction form
    107,730/161,612.51 = 31,836.24/x
  3. Step 3: Cross multiply
    107,730x = 161,612.51 × 31,836.24
  4. Step 4: Simplify right side
    107,730x = 5,145,134,496.18
  5. Step 5: Solve for x
    x = 5,145,134,496.18/107,730
  6. Step 6: Final answer
    x = 47,759.53

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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.