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Finding the Fourth Proportional to 45,666.50, 63,022.17 and 27,758.60

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Solution

The fourth proportional to 45,666.50, 63,022.17 and 27,758.60 is: 38,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,666.50 : 63,022.17 = 27,758.60 : x
  2. Step 2: Convert to fraction form
    45,666.50/63,022.17 = 27,758.60/x
  3. Step 3: Cross multiply
    45,666.50x = 63,022.17 × 27,758.60
  4. Step 4: Simplify right side
    45,666.50x = 1,749,407,208.16
  5. Step 5: Solve for x
    x = 1,749,407,208.16/45,666.50
  6. Step 6: Final answer
    x = 38,308.33

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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.