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Finding the Fourth Proportional to 46,200.90, 69,204.15 and 38,424.90

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Solution

The fourth proportional to 46,200.90, 69,204.15 and 38,424.90 is: 57,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.90 : 69,204.15 = 38,424.90 : x
  2. Step 2: Convert to fraction form
    46,200.90/69,204.15 = 38,424.90/x
  3. Step 3: Cross multiply
    46,200.90x = 69,204.15 × 38,424.90
  4. Step 4: Simplify right side
    46,200.90x = 2,659,162,543.34
  5. Step 5: Solve for x
    x = 2,659,162,543.34/46,200.90
  6. Step 6: Final answer
    x = 57,556.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.