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Finding the Fourth Proportional to 75,641.74, 113,474.93 and 22,339.11

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Solution

The fourth proportional to 75,641.74, 113,474.93 and 22,339.11 is: 33,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.74 : 113,474.93 = 22,339.11 : x
  2. Step 2: Convert to fraction form
    75,641.74/113,474.93 = 22,339.11/x
  3. Step 3: Cross multiply
    75,641.74x = 113,474.93 × 22,339.11
  4. Step 4: Simplify right side
    75,641.74x = 2,534,928,831.82
  5. Step 5: Solve for x
    x = 2,534,928,831.82/75,641.74
  6. Step 6: Final answer
    x = 33,512.30

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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.