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Finding the Fourth Proportional to 75,528, 104,230.80 and 41,996.16

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Solution

The fourth proportional to 75,528, 104,230.80 and 41,996.16 is: 57,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,528 : 104,230.80 = 41,996.16 : x
  2. Step 2: Convert to fraction form
    75,528/104,230.80 = 41,996.16/x
  3. Step 3: Cross multiply
    75,528x = 104,230.80 × 41,996.16
  4. Step 4: Simplify right side
    75,528x = 4,377,293,353.73
  5. Step 5: Solve for x
    x = 4,377,293,353.73/75,528
  6. Step 6: Final answer
    x = 57,955.90

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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.