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Finding the Fourth Proportional to 38,774.80, 53,390.76 and 29,228.56

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Solution

The fourth proportional to 38,774.80, 53,390.76 and 29,228.56 is: 40,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.80 : 53,390.76 = 29,228.56 : x
  2. Step 2: Convert to fraction form
    38,774.80/53,390.76 = 29,228.56/x
  3. Step 3: Cross multiply
    38,774.80x = 53,390.76 × 29,228.56
  4. Step 4: Simplify right side
    38,774.80x = 1,560,535,032.11
  5. Step 5: Solve for x
    x = 1,560,535,032.11/38,774.80
  6. Step 6: Final answer
    x = 40,246.11

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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.