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Finding the Fourth Proportional to 63,343.48, 87,400.27 and 40,382

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Solution

The fourth proportional to 63,343.48, 87,400.27 and 40,382 is: 55,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,343.48 : 87,400.27 = 40,382 : x
  2. Step 2: Convert to fraction form
    63,343.48/87,400.27 = 40,382/x
  3. Step 3: Cross multiply
    63,343.48x = 87,400.27 × 40,382
  4. Step 4: Simplify right side
    63,343.48x = 3,529,397,703.14
  5. Step 5: Solve for x
    x = 3,529,397,703.14/63,343.48
  6. Step 6: Final answer
    x = 55,718.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.