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Finding the Fourth Proportional to 75,298.55, 103,912.81 and 41,307.11

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Solution

The fourth proportional to 75,298.55, 103,912.81 and 41,307.11 is: 57,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.55 : 103,912.81 = 41,307.11 : x
  2. Step 2: Convert to fraction form
    75,298.55/103,912.81 = 41,307.11/x
  3. Step 3: Cross multiply
    75,298.55x = 103,912.81 × 41,307.11
  4. Step 4: Simplify right side
    75,298.55x = 4,292,337,873.08
  5. Step 5: Solve for x
    x = 4,292,337,873.08/75,298.55
  6. Step 6: Final answer
    x = 57,004.26

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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.