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Finding the Fourth Proportional to 62,135.54, 85,744.10 and 35,274.50

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Solution

The fourth proportional to 62,135.54, 85,744.10 and 35,274.50 is: 48,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,135.54 : 85,744.10 = 35,274.50 : x
  2. Step 2: Convert to fraction form
    62,135.54/85,744.10 = 35,274.50/x
  3. Step 3: Cross multiply
    62,135.54x = 85,744.10 × 35,274.50
  4. Step 4: Simplify right side
    62,135.54x = 3,024,580,255.45
  5. Step 5: Solve for x
    x = 3,024,580,255.45/62,135.54
  6. Step 6: Final answer
    x = 48,677.14

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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.