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Finding the Fourth Proportional to 82,290.75, 113,561.37 and 44,565

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Solution

The fourth proportional to 82,290.75, 113,561.37 and 44,565 is: 61,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290.75 : 113,561.37 = 44,565 : x
  2. Step 2: Convert to fraction form
    82,290.75/113,561.37 = 44,565/x
  3. Step 3: Cross multiply
    82,290.75x = 113,561.37 × 44,565
  4. Step 4: Simplify right side
    82,290.75x = 5,060,862,454.05
  5. Step 5: Solve for x
    x = 5,060,862,454.05/82,290.75
  6. Step 6: Final answer
    x = 61,499.77

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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.