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Finding the Fourth Proportional to 74,462.76, 111,709.80 and 21,867.84

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Solution

The fourth proportional to 74,462.76, 111,709.80 and 21,867.84 is: 32,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462.76 : 111,709.80 = 21,867.84 : x
  2. Step 2: Convert to fraction form
    74,462.76/111,709.80 = 21,867.84/x
  3. Step 3: Cross multiply
    74,462.76x = 111,709.80 × 21,867.84
  4. Step 4: Simplify right side
    74,462.76x = 2,442,852,032.83
  5. Step 5: Solve for x
    x = 2,442,852,032.83/74,462.76
  6. Step 6: Final answer
    x = 32,806.36

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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.