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Finding the Fourth Proportional to 75,256.95, 103,859.25 and 41,722.95

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Solution

The fourth proportional to 75,256.95, 103,859.25 and 41,722.95 is: 57,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,256.95 : 103,859.25 = 41,722.95 : x
  2. Step 2: Convert to fraction form
    75,256.95/103,859.25 = 41,722.95/x
  3. Step 3: Cross multiply
    75,256.95x = 103,859.25 × 41,722.95
  4. Step 4: Simplify right side
    75,256.95x = 4,333,314,294.79
  5. Step 5: Solve for x
    x = 4,333,314,294.79/75,256.95
  6. Step 6: Final answer
    x = 57,580.25

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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.