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Finding the Fourth Proportional to 82,885.32, 114,476.76 and 54,716.76

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Solution

The fourth proportional to 82,885.32, 114,476.76 and 54,716.76 is: 75,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,885.32 : 114,476.76 = 54,716.76 : x
  2. Step 2: Convert to fraction form
    82,885.32/114,476.76 = 54,716.76/x
  3. Step 3: Cross multiply
    82,885.32x = 114,476.76 × 54,716.76
  4. Step 4: Simplify right side
    82,885.32x = 6,263,797,402.50
  5. Step 5: Solve for x
    x = 6,263,797,402.50/82,885.32
  6. Step 6: Final answer
    x = 75,571.86

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1.5x scale

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.