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Finding the Fourth Proportional to 75,132, 103,685.40 and 41,598

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Solution

The fourth proportional to 75,132, 103,685.40 and 41,598 is: 57,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 103,685.40 = 41,598 : x
  2. Step 2: Convert to fraction form
    75,132/103,685.40 = 41,598/x
  3. Step 3: Cross multiply
    75,132x = 103,685.40 × 41,598
  4. Step 4: Simplify right side
    75,132x = 4,313,105,269.20
  5. Step 5: Solve for x
    x = 4,313,105,269.20/75,132
  6. Step 6: Final answer
    x = 57,407.03

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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.