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Finding the Fourth Proportional to 75,348.88, 103,986.34 and 41,814.88

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Solution

The fourth proportional to 75,348.88, 103,986.34 and 41,814.88 is: 57,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348.88 : 103,986.34 = 41,814.88 : x
  2. Step 2: Convert to fraction form
    75,348.88/103,986.34 = 41,814.88/x
  3. Step 3: Cross multiply
    75,348.88x = 103,986.34 × 41,814.88
  4. Step 4: Simplify right side
    75,348.88x = 4,348,176,328.74
  5. Step 5: Solve for x
    x = 4,348,176,328.74/75,348.88
  6. Step 6: Final answer
    x = 57,707.25

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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.