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Finding the Fourth Proportional to 86,105.70, 129,352.98 and 51,068.34

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Solution

The fourth proportional to 86,105.70, 129,352.98 and 51,068.34 is: 76,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,105.70 : 129,352.98 = 51,068.34 : x
  2. Step 2: Convert to fraction form
    86,105.70/129,352.98 = 51,068.34/x
  3. Step 3: Cross multiply
    86,105.70x = 129,352.98 × 51,068.34
  4. Step 4: Simplify right side
    86,105.70x = 6,605,841,962.65
  5. Step 5: Solve for x
    x = 6,605,841,962.65/86,105.70
  6. Step 6: Final answer
    x = 76,717.82

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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.