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Finding the Fourth Proportional to 73,023.93, 109,470.29 and 26,244

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Solution

The fourth proportional to 73,023.93, 109,470.29 and 26,244 is: 39,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,023.93 : 109,470.29 = 26,244 : x
  2. Step 2: Convert to fraction form
    73,023.93/109,470.29 = 26,244/x
  3. Step 3: Cross multiply
    73,023.93x = 109,470.29 × 26,244
  4. Step 4: Simplify right side
    73,023.93x = 2,872,938,159.54
  5. Step 5: Solve for x
    x = 2,872,938,159.54/73,023.93
  6. Step 6: Final answer
    x = 39,342.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.