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Finding the Fourth Proportional to 75,114.77, 103,658.40 and 41,580.77

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Solution

The fourth proportional to 75,114.77, 103,658.40 and 41,580.77 is: 57,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.77 : 103,658.40 = 41,580.77 : x
  2. Step 2: Convert to fraction form
    75,114.77/103,658.40 = 41,580.77/x
  3. Step 3: Cross multiply
    75,114.77x = 103,658.40 × 41,580.77
  4. Step 4: Simplify right side
    75,114.77x = 4,310,195,570.68
  5. Step 5: Solve for x
    x = 4,310,195,570.68/75,114.77
  6. Step 6: Final answer
    x = 57,381.47

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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.