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Finding the Fourth Proportional to 75,151.59, 103,711.05 and 41,161.50

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Solution

The fourth proportional to 75,151.59, 103,711.05 and 41,161.50 is: 56,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,151.59 : 103,711.05 = 41,161.50 : x
  2. Step 2: Convert to fraction form
    75,151.59/103,711.05 = 41,161.50/x
  3. Step 3: Cross multiply
    75,151.59x = 103,711.05 × 41,161.50
  4. Step 4: Simplify right side
    75,151.59x = 4,268,902,384.58
  5. Step 5: Solve for x
    x = 4,268,902,384.58/75,151.59
  6. Step 6: Final answer
    x = 56,803.89

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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.