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Finding the Fourth Proportional to 60,232.80, 83,135.16 and 40,090.50

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Solution

The fourth proportional to 60,232.80, 83,135.16 and 40,090.50 is: 55,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,232.80 : 83,135.16 = 40,090.50 : x
  2. Step 2: Convert to fraction form
    60,232.80/83,135.16 = 40,090.50/x
  3. Step 3: Cross multiply
    60,232.80x = 83,135.16 × 40,090.50
  4. Step 4: Simplify right side
    60,232.80x = 3,332,930,131.98
  5. Step 5: Solve for x
    x = 3,332,930,131.98/60,232.80
  6. Step 6: Final answer
    x = 55,334.14

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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.