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Finding the Fourth Proportional to 75,149, 103,708.88 and 41,615

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Solution

The fourth proportional to 75,149, 103,708.88 and 41,615 is: 57,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,149 : 103,708.88 = 41,615 : x
  2. Step 2: Convert to fraction form
    75,149/103,708.88 = 41,615/x
  3. Step 3: Cross multiply
    75,149x = 103,708.88 × 41,615
  4. Step 4: Simplify right side
    75,149x = 4,315,845,041.20
  5. Step 5: Solve for x
    x = 4,315,845,041.20/75,149
  6. Step 6: Final answer
    x = 57,430.51

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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.