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Finding the Fourth Proportional to 77,267.76, 115,871.88 and 32,915.76

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Solution

The fourth proportional to 77,267.76, 115,871.88 and 32,915.76 is: 49,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267.76 : 115,871.88 = 32,915.76 : x
  2. Step 2: Convert to fraction form
    77,267.76/115,871.88 = 32,915.76/x
  3. Step 3: Cross multiply
    77,267.76x = 115,871.88 × 32,915.76
  4. Step 4: Simplify right side
    77,267.76x = 3,814,010,992.83
  5. Step 5: Solve for x
    x = 3,814,010,992.83/77,267.76
  6. Step 6: Final answer
    x = 49,360.96

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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.