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Finding the Fourth Proportional to 40,102.65, 55,340.13 and 21,953.79

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Solution

The fourth proportional to 40,102.65, 55,340.13 and 21,953.79 is: 30,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102.65 : 55,340.13 = 21,953.79 : x
  2. Step 2: Convert to fraction form
    40,102.65/55,340.13 = 21,953.79/x
  3. Step 3: Cross multiply
    40,102.65x = 55,340.13 × 21,953.79
  4. Step 4: Simplify right side
    40,102.65x = 1,214,925,592.59
  5. Step 5: Solve for x
    x = 1,214,925,592.59/40,102.65
  6. Step 6: Final answer
    x = 30,295.39

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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.