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Finding the Fourth Proportional to 82,926, 114,439.56 and 45,200.28

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Solution

The fourth proportional to 82,926, 114,439.56 and 45,200.28 is: 62,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,926 : 114,439.56 = 45,200.28 : x
  2. Step 2: Convert to fraction form
    82,926/114,439.56 = 45,200.28/x
  3. Step 3: Cross multiply
    82,926x = 114,439.56 × 45,200.28
  4. Step 4: Simplify right side
    82,926x = 5,172,700,155.08
  5. Step 5: Solve for x
    x = 5,172,700,155.08/82,926
  6. Step 6: Final answer
    x = 62,377.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.