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Finding the Fourth Proportional to 51,966.04, 71,713.36 and 32,854.20

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Solution

The fourth proportional to 51,966.04, 71,713.36 and 32,854.20 is: 45,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966.04 : 71,713.36 = 32,854.20 : x
  2. Step 2: Convert to fraction form
    51,966.04/71,713.36 = 32,854.20/x
  3. Step 3: Cross multiply
    51,966.04x = 71,713.36 × 32,854.20
  4. Step 4: Simplify right side
    51,966.04x = 2,356,085,072.11
  5. Step 5: Solve for x
    x = 2,356,085,072.11/51,966.04
  6. Step 6: Final answer
    x = 45,338.94

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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.