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Finding the Fourth Proportional to 75,000, 103,502.16 and 41,468.16

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Solution

The fourth proportional to 75,000, 103,502.16 and 41,468.16 is: 57,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000 : 103,502.16 = 41,468.16 : x
  2. Step 2: Convert to fraction form
    75,000/103,502.16 = 41,468.16/x
  3. Step 3: Cross multiply
    75,000x = 103,502.16 × 41,468.16
  4. Step 4: Simplify right side
    75,000x = 4,292,044,131.23
  5. Step 5: Solve for x
    x = 4,292,044,131.23/75,000
  6. Step 6: Final answer
    x = 57,227.26

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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.