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Finding the Fourth Proportional to 77,886.16, 107,491.36 and 47,691.84

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Solution

The fourth proportional to 77,886.16, 107,491.36 and 47,691.84 is: 65,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886.16 : 107,491.36 = 47,691.84 : x
  2. Step 2: Convert to fraction form
    77,886.16/107,491.36 = 47,691.84/x
  3. Step 3: Cross multiply
    77,886.16x = 107,491.36 × 47,691.84
  4. Step 4: Simplify right side
    77,886.16x = 5,126,460,742.50
  5. Step 5: Solve for x
    x = 5,126,460,742.50/77,886.16
  6. Step 6: Final answer
    x = 65,819.92

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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.