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Finding the Fourth Proportional to 86,007, 128,959.39 and 32,702.88

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Solution

The fourth proportional to 86,007, 128,959.39 and 32,702.88 is: 49,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,007 : 128,959.39 = 32,702.88 : x
  2. Step 2: Convert to fraction form
    86,007/128,959.39 = 32,702.88/x
  3. Step 3: Cross multiply
    86,007x = 128,959.39 × 32,702.88
  4. Step 4: Simplify right side
    86,007x = 4,217,343,456.04
  5. Step 5: Solve for x
    x = 4,217,343,456.04/86,007
  6. Step 6: Final answer
    x = 49,034.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.