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Finding the Fourth Proportional to 75,180.48, 103,752.48 and 42,923.82

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Solution

The fourth proportional to 75,180.48, 103,752.48 and 42,923.82 is: 59,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,180.48 : 103,752.48 = 42,923.82 : x
  2. Step 2: Convert to fraction form
    75,180.48/103,752.48 = 42,923.82/x
  3. Step 3: Cross multiply
    75,180.48x = 103,752.48 × 42,923.82
  4. Step 4: Simplify right side
    75,180.48x = 4,453,452,994.12
  5. Step 5: Solve for x
    x = 4,453,452,994.12/75,180.48
  6. Step 6: Final answer
    x = 59,236.83

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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.