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Finding the Fourth Proportional to 40,836.38, 56,352.38 and 22,931.06

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Solution

The fourth proportional to 40,836.38, 56,352.38 and 22,931.06 is: 31,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,836.38 : 56,352.38 = 22,931.06 : x
  2. Step 2: Convert to fraction form
    40,836.38/56,352.38 = 22,931.06/x
  3. Step 3: Cross multiply
    40,836.38x = 56,352.38 × 22,931.06
  4. Step 4: Simplify right side
    40,836.38x = 1,292,219,806.92
  5. Step 5: Solve for x
    x = 1,292,219,806.92/40,836.38
  6. Step 6: Final answer
    x = 31,643.84

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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.