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Finding the Fourth Proportional to 27,292.92, 40,937.46 and 10,649.82

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Solution

The fourth proportional to 27,292.92, 40,937.46 and 10,649.82 is: 15,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292.92 : 40,937.46 = 10,649.82 : x
  2. Step 2: Convert to fraction form
    27,292.92/40,937.46 = 10,649.82/x
  3. Step 3: Cross multiply
    27,292.92x = 40,937.46 × 10,649.82
  4. Step 4: Simplify right side
    27,292.92x = 435,976,580.26
  5. Step 5: Solve for x
    x = 435,976,580.26/27,292.92
  6. Step 6: Final answer
    x = 15,973.98

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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.