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Finding the Fourth Proportional to 83,246.39, 114,881.27 and 47,435.63

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Solution

The fourth proportional to 83,246.39, 114,881.27 and 47,435.63 is: 65,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,246.39 : 114,881.27 = 47,435.63 : x
  2. Step 2: Convert to fraction form
    83,246.39/114,881.27 = 47,435.63/x
  3. Step 3: Cross multiply
    83,246.39x = 114,881.27 × 47,435.63
  4. Step 4: Simplify right side
    83,246.39x = 5,449,465,417.65
  5. Step 5: Solve for x
    x = 5,449,465,417.65/83,246.39
  6. Step 6: Final answer
    x = 65,461.88

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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.