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Finding the Fourth Proportional to 75,510.48, 104,202.24 and 41,518.92

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Solution

The fourth proportional to 75,510.48, 104,202.24 and 41,518.92 is: 57,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,510.48 : 104,202.24 = 41,518.92 : x
  2. Step 2: Convert to fraction form
    75,510.48/104,202.24 = 41,518.92/x
  3. Step 3: Cross multiply
    75,510.48x = 104,202.24 × 41,518.92
  4. Step 4: Simplify right side
    75,510.48x = 4,326,364,466.38
  5. Step 5: Solve for x
    x = 4,326,364,466.38/75,510.48
  6. Step 6: Final answer
    x = 57,294.89

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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.