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Finding the Fourth Proportional to 82,298, 113,571.24 and 44,572.52

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Solution

The fourth proportional to 82,298, 113,571.24 and 44,572.52 is: 61,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,298 : 113,571.24 = 44,572.52 : x
  2. Step 2: Convert to fraction form
    82,298/113,571.24 = 44,572.52/x
  3. Step 3: Cross multiply
    82,298x = 113,571.24 × 44,572.52
  4. Step 4: Simplify right side
    82,298x = 5,062,156,366.32
  5. Step 5: Solve for x
    x = 5,062,156,366.32/82,298
  6. Step 6: Final answer
    x = 61,510.08

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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.