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Finding the Fourth Proportional to 83,429.66, 115,148.94 and 65,244.35

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Solution

The fourth proportional to 83,429.66, 115,148.94 and 65,244.35 is: 90,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,429.66 : 115,148.94 = 65,244.35 : x
  2. Step 2: Convert to fraction form
    83,429.66/115,148.94 = 65,244.35/x
  3. Step 3: Cross multiply
    83,429.66x = 115,148.94 × 65,244.35
  4. Step 4: Simplify right side
    83,429.66x = 7,512,817,743.49
  5. Step 5: Solve for x
    x = 7,512,817,743.49/83,429.66
  6. Step 6: Final answer
    x = 90,049.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.