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Finding the Fourth Proportional to 82,642.17, 114,045.66 and 44,916.42

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Solution

The fourth proportional to 82,642.17, 114,045.66 and 44,916.42 is: 61,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.17 : 114,045.66 = 44,916.42 : x
  2. Step 2: Convert to fraction form
    82,642.17/114,045.66 = 44,916.42/x
  3. Step 3: Cross multiply
    82,642.17x = 114,045.66 × 44,916.42
  4. Step 4: Simplify right side
    82,642.17x = 5,122,522,763.74
  5. Step 5: Solve for x
    x = 5,122,522,763.74/82,642.17
  6. Step 6: Final answer
    x = 61,984.37

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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.