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Finding the Fourth Proportional to 82,787.70, 114,246.45 and 45,061.86

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Solution

The fourth proportional to 82,787.70, 114,246.45 and 45,061.86 is: 62,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,787.70 : 114,246.45 = 45,061.86 : x
  2. Step 2: Convert to fraction form
    82,787.70/114,246.45 = 45,061.86/x
  3. Step 3: Cross multiply
    82,787.70x = 114,246.45 × 45,061.86
  4. Step 4: Simplify right side
    82,787.70x = 5,148,157,535.40
  5. Step 5: Solve for x
    x = 5,148,157,535.40/82,787.70
  6. Step 6: Final answer
    x = 62,185.05

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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.