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Finding the Fourth Proportional to 40,323.52, 55,646.04 and 22,419.28

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Solution

The fourth proportional to 40,323.52, 55,646.04 and 22,419.28 is: 30,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,323.52 : 55,646.04 = 22,419.28 : x
  2. Step 2: Convert to fraction form
    40,323.52/55,646.04 = 22,419.28/x
  3. Step 3: Cross multiply
    40,323.52x = 55,646.04 × 22,419.28
  4. Step 4: Simplify right side
    40,323.52x = 1,247,544,151.65
  5. Step 5: Solve for x
    x = 1,247,544,151.65/40,323.52
  6. Step 6: Final answer
    x = 30,938.37

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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.