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Finding the Fourth Proportional to 82,646.28, 114,051.29 and 44,920.53

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Solution

The fourth proportional to 82,646.28, 114,051.29 and 44,920.53 is: 61,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.28 : 114,051.29 = 44,920.53 : x
  2. Step 2: Convert to fraction form
    82,646.28/114,051.29 = 44,920.53/x
  3. Step 3: Cross multiply
    82,646.28x = 114,051.29 × 44,920.53
  4. Step 4: Simplify right side
    82,646.28x = 5,123,244,169.38
  5. Step 5: Solve for x
    x = 5,123,244,169.38/82,646.28
  6. Step 6: Final answer
    x = 61,990.02

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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.