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Finding the Fourth Proportional to 80,931.84, 111,738.24 and 56,689.32

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Solution

The fourth proportional to 80,931.84, 111,738.24 and 56,689.32 is: 78,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,931.84 : 111,738.24 = 56,689.32 : x
  2. Step 2: Convert to fraction form
    80,931.84/111,738.24 = 56,689.32/x
  3. Step 3: Cross multiply
    80,931.84x = 111,738.24 × 56,689.32
  4. Step 4: Simplify right side
    80,931.84x = 6,334,364,843.60
  5. Step 5: Solve for x
    x = 6,334,364,843.60/80,931.84
  6. Step 6: Final answer
    x = 78,267.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.