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Finding the Fourth Proportional to 40,615.36, 56,046.60 and 22,711.84

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Solution

The fourth proportional to 40,615.36, 56,046.60 and 22,711.84 is: 31,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,615.36 : 56,046.60 = 22,711.84 : x
  2. Step 2: Convert to fraction form
    40,615.36/56,046.60 = 22,711.84/x
  3. Step 3: Cross multiply
    40,615.36x = 56,046.60 × 22,711.84
  4. Step 4: Simplify right side
    40,615.36x = 1,272,921,411.74
  5. Step 5: Solve for x
    x = 1,272,921,411.74/40,615.36
  6. Step 6: Final answer
    x = 31,340.89

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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.