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Finding the Fourth Proportional to 86,978.76, 120,027.33 and 49,253.10

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Solution

The fourth proportional to 86,978.76, 120,027.33 and 49,253.10 is: 67,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.76 : 120,027.33 = 49,253.10 : x
  2. Step 2: Convert to fraction form
    86,978.76/120,027.33 = 49,253.10/x
  3. Step 3: Cross multiply
    86,978.76x = 120,027.33 × 49,253.10
  4. Step 4: Simplify right side
    86,978.76x = 5,911,718,087.22
  5. Step 5: Solve for x
    x = 5,911,718,087.22/86,978.76
  6. Step 6: Final answer
    x = 67,967.38

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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.