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Finding the Fourth Proportional to 53,792.13, 80,687.46 and 24,189

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Solution

The fourth proportional to 53,792.13, 80,687.46 and 24,189 is: 36,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,792.13 : 80,687.46 = 24,189 : x
  2. Step 2: Convert to fraction form
    53,792.13/80,687.46 = 24,189/x
  3. Step 3: Cross multiply
    53,792.13x = 80,687.46 × 24,189
  4. Step 4: Simplify right side
    53,792.13x = 1,951,748,969.94
  5. Step 5: Solve for x
    x = 1,951,748,969.94/53,792.13
  6. Step 6: Final answer
    x = 36,283.17

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1.5x scale

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.