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Finding the Fourth Proportional to 53,842.48, 80,754 and 18,792.16

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Solution

The fourth proportional to 53,842.48, 80,754 and 18,792.16 is: 28,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.48 : 80,754 = 18,792.16 : x
  2. Step 2: Convert to fraction form
    53,842.48/80,754 = 18,792.16/x
  3. Step 3: Cross multiply
    53,842.48x = 80,754 × 18,792.16
  4. Step 4: Simplify right side
    53,842.48x = 1,517,542,088.64
  5. Step 5: Solve for x
    x = 1,517,542,088.64/53,842.48
  6. Step 6: Final answer
    x = 28,184.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.