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Finding the Fourth Proportional to 37,500.98, 51,717.80 and 31,117.42

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Solution

The fourth proportional to 37,500.98, 51,717.80 and 31,117.42 is: 42,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,500.98 : 51,717.80 = 31,117.42 : x
  2. Step 2: Convert to fraction form
    37,500.98/51,717.80 = 31,117.42/x
  3. Step 3: Cross multiply
    37,500.98x = 51,717.80 × 31,117.42
  4. Step 4: Simplify right side
    37,500.98x = 1,609,324,089.90
  5. Step 5: Solve for x
    x = 1,609,324,089.90/37,500.98
  6. Step 6: Final answer
    x = 42,914.19

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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.