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Finding the Fourth Proportional to 82,470.56, 113,808.88 and 44,744

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Solution

The fourth proportional to 82,470.56, 113,808.88 and 44,744 is: 61,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470.56 : 113,808.88 = 44,744 : x
  2. Step 2: Convert to fraction form
    82,470.56/113,808.88 = 44,744/x
  3. Step 3: Cross multiply
    82,470.56x = 113,808.88 × 44,744
  4. Step 4: Simplify right side
    82,470.56x = 5,092,264,526.72
  5. Step 5: Solve for x
    x = 5,092,264,526.72/82,470.56
  6. Step 6: Final answer
    x = 61,746.45

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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.