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Finding the Fourth Proportional to 51,747.79, 77,466.98 and 31,694.14

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Solution

The fourth proportional to 51,747.79, 77,466.98 and 31,694.14 is: 47,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,747.79 : 77,466.98 = 31,694.14 : x
  2. Step 2: Convert to fraction form
    51,747.79/77,466.98 = 31,694.14/x
  3. Step 3: Cross multiply
    51,747.79x = 77,466.98 × 31,694.14
  4. Step 4: Simplify right side
    51,747.79x = 2,455,249,309.50
  5. Step 5: Solve for x
    x = 2,455,249,309.50/51,747.79
  6. Step 6: Final answer
    x = 47,446.46

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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.