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Finding the Fourth Proportional to 74,100.76, 111,171.95 and 29,758.65

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Solution

The fourth proportional to 74,100.76, 111,171.95 and 29,758.65 is: 44,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,100.76 : 111,171.95 = 29,758.65 : x
  2. Step 2: Convert to fraction form
    74,100.76/111,171.95 = 29,758.65/x
  3. Step 3: Cross multiply
    74,100.76x = 111,171.95 × 29,758.65
  4. Step 4: Simplify right side
    74,100.76x = 3,308,326,445.21
  5. Step 5: Solve for x
    x = 3,308,326,445.21/74,100.76
  6. Step 6: Final answer
    x = 44,646.33

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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.