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Finding the Fourth Proportional to 82,202.04, 113,460.75 and 46,413

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Solution

The fourth proportional to 82,202.04, 113,460.75 and 46,413 is: 64,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.04 : 113,460.75 = 46,413 : x
  2. Step 2: Convert to fraction form
    82,202.04/113,460.75 = 46,413/x
  3. Step 3: Cross multiply
    82,202.04x = 113,460.75 × 46,413
  4. Step 4: Simplify right side
    82,202.04x = 5,266,053,789.75
  5. Step 5: Solve for x
    x = 5,266,053,789.75/82,202.04
  6. Step 6: Final answer
    x = 64,062.32

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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.