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Finding the Fourth Proportional to 82,642.52, 114,047.43 and 44,916.86

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Solution

The fourth proportional to 82,642.52, 114,047.43 and 44,916.86 is: 61,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.52 : 114,047.43 = 44,916.86 : x
  2. Step 2: Convert to fraction form
    82,642.52/114,047.43 = 44,916.86/x
  3. Step 3: Cross multiply
    82,642.52x = 114,047.43 × 44,916.86
  4. Step 4: Simplify right side
    82,642.52x = 5,122,652,446.67
  5. Step 5: Solve for x
    x = 5,122,652,446.67/82,642.52
  6. Step 6: Final answer
    x = 61,985.68

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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.