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Finding the Fourth Proportional to 74,278.40, 111,368.40 and 41,014.40

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Solution

The fourth proportional to 74,278.40, 111,368.40 and 41,014.40 is: 61,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,278.40 : 111,368.40 = 41,014.40 : x
  2. Step 2: Convert to fraction form
    74,278.40/111,368.40 = 41,014.40/x
  3. Step 3: Cross multiply
    74,278.40x = 111,368.40 × 41,014.40
  4. Step 4: Simplify right side
    74,278.40x = 4,567,708,104.96
  5. Step 5: Solve for x
    x = 4,567,708,104.96/74,278.40
  6. Step 6: Final answer
    x = 61,494.43

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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.