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Finding the Fourth Proportional to 82,770.75, 114,215.74 and 46,463.90

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Solution

The fourth proportional to 82,770.75, 114,215.74 and 46,463.90 is: 64,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.75 : 114,215.74 = 46,463.90 : x
  2. Step 2: Convert to fraction form
    82,770.75/114,215.74 = 46,463.90/x
  3. Step 3: Cross multiply
    82,770.75x = 114,215.74 × 46,463.90
  4. Step 4: Simplify right side
    82,770.75x = 5,306,908,034.55
  5. Step 5: Solve for x
    x = 5,306,908,034.55/82,770.75
  6. Step 6: Final answer
    x = 64,115.74

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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.