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Finding the Fourth Proportional to 82,580.66, 113,966.82 and 46,282.53

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Solution

The fourth proportional to 82,580.66, 113,966.82 and 46,282.53 is: 63,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.66 : 113,966.82 = 46,282.53 : x
  2. Step 2: Convert to fraction form
    82,580.66/113,966.82 = 46,282.53/x
  3. Step 3: Cross multiply
    82,580.66x = 113,966.82 × 46,282.53
  4. Step 4: Simplify right side
    82,580.66x = 5,274,672,765.65
  5. Step 5: Solve for x
    x = 5,274,672,765.65/82,580.66
  6. Step 6: Final answer
    x = 63,872.98

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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.