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Finding the Fourth Proportional to 75,225.60, 103,822.38 and 43,388.28

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Solution

The fourth proportional to 75,225.60, 103,822.38 and 43,388.28 is: 59,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225.60 : 103,822.38 = 43,388.28 : x
  2. Step 2: Convert to fraction form
    75,225.60/103,822.38 = 43,388.28/x
  3. Step 3: Cross multiply
    75,225.60x = 103,822.38 × 43,388.28
  4. Step 4: Simplify right side
    75,225.60x = 4,504,674,493.71
  5. Step 5: Solve for x
    x = 4,504,674,493.71/75,225.60
  6. Step 6: Final answer
    x = 59,882.20

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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.