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Finding the Fourth Proportional to 75,309.42, 103,927.06 and 41,775.42

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Solution

The fourth proportional to 75,309.42, 103,927.06 and 41,775.42 is: 57,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.42 : 103,927.06 = 41,775.42 : x
  2. Step 2: Convert to fraction form
    75,309.42/103,927.06 = 41,775.42/x
  3. Step 3: Cross multiply
    75,309.42x = 103,927.06 × 41,775.42
  4. Step 4: Simplify right side
    75,309.42x = 4,341,596,580.87
  5. Step 5: Solve for x
    x = 4,341,596,580.87/75,309.42
  6. Step 6: Final answer
    x = 57,650.11

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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.