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Finding the Fourth Proportional to 75,200.49, 103,776.66 and 41,666.49

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Solution

The fourth proportional to 75,200.49, 103,776.66 and 41,666.49 is: 57,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.49 : 103,776.66 = 41,666.49 : x
  2. Step 2: Convert to fraction form
    75,200.49/103,776.66 = 41,666.49/x
  3. Step 3: Cross multiply
    75,200.49x = 103,776.66 × 41,666.49
  4. Step 4: Simplify right side
    75,200.49x = 4,324,009,166.12
  5. Step 5: Solve for x
    x = 4,324,009,166.12/75,200.49
  6. Step 6: Final answer
    x = 57,499.75

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1.5x scale

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.