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Finding the Fourth Proportional to 31,762.32, 43,803.34 and 19,826.76

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Solution

The fourth proportional to 31,762.32, 43,803.34 and 19,826.76 is: 27,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.32 : 43,803.34 = 19,826.76 : x
  2. Step 2: Convert to fraction form
    31,762.32/43,803.34 = 19,826.76/x
  3. Step 3: Cross multiply
    31,762.32x = 43,803.34 × 19,826.76
  4. Step 4: Simplify right side
    31,762.32x = 868,478,309.38
  5. Step 5: Solve for x
    x = 868,478,309.38/31,762.32
  6. Step 6: Final answer
    x = 27,343.04

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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.