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Finding the Fourth Proportional to 74,674, 103,050.12 and 41,140.72

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Solution

The fourth proportional to 74,674, 103,050.12 and 41,140.72 is: 56,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,674 : 103,050.12 = 41,140.72 : x
  2. Step 2: Convert to fraction form
    74,674/103,050.12 = 41,140.72/x
  3. Step 3: Cross multiply
    74,674x = 103,050.12 × 41,140.72
  4. Step 4: Simplify right side
    74,674x = 4,239,556,132.89
  5. Step 5: Solve for x
    x = 4,239,556,132.89/74,674
  6. Step 6: Final answer
    x = 56,774.19

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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.