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Finding the Fourth Proportional to 52,148.54, 77,845.16 and 45,842.96

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Solution

The fourth proportional to 52,148.54, 77,845.16 and 45,842.96 is: 68,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.54 : 77,845.16 = 45,842.96 : x
  2. Step 2: Convert to fraction form
    52,148.54/77,845.16 = 45,842.96/x
  3. Step 3: Cross multiply
    52,148.54x = 77,845.16 × 45,842.96
  4. Step 4: Simplify right side
    52,148.54x = 3,568,652,556.07
  5. Step 5: Solve for x
    x = 3,568,652,556.07/52,148.54
  6. Step 6: Final answer
    x = 68,432.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.