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Finding the Fourth Proportional to 86,712.33, 119,647.68 and 48,459.65

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Solution

The fourth proportional to 86,712.33, 119,647.68 and 48,459.65 is: 66,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,712.33 : 119,647.68 = 48,459.65 : x
  2. Step 2: Convert to fraction form
    86,712.33/119,647.68 = 48,459.65/x
  3. Step 3: Cross multiply
    86,712.33x = 119,647.68 × 48,459.65
  4. Step 4: Simplify right side
    86,712.33x = 5,798,084,097.87
  5. Step 5: Solve for x
    x = 5,798,084,097.87/86,712.33
  6. Step 6: Final answer
    x = 66,865.74

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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.