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Finding the Fourth Proportional to 82,141.16, 113,355.44 and 45,348.52

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Solution

The fourth proportional to 82,141.16, 113,355.44 and 45,348.52 is: 62,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.16 : 113,355.44 = 45,348.52 : x
  2. Step 2: Convert to fraction form
    82,141.16/113,355.44 = 45,348.52/x
  3. Step 3: Cross multiply
    82,141.16x = 113,355.44 × 45,348.52
  4. Step 4: Simplify right side
    82,141.16x = 5,140,501,437.95
  5. Step 5: Solve for x
    x = 5,140,501,437.95/82,141.16
  6. Step 6: Final answer
    x = 62,581.31

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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.