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Finding the Fourth Proportional to 39,101.76, 53,888.06 and 27,771.76

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Solution

The fourth proportional to 39,101.76, 53,888.06 and 27,771.76 is: 38,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,101.76 : 53,888.06 = 27,771.76 : x
  2. Step 2: Convert to fraction form
    39,101.76/53,888.06 = 27,771.76/x
  3. Step 3: Cross multiply
    39,101.76x = 53,888.06 × 27,771.76
  4. Step 4: Simplify right side
    39,101.76x = 1,496,566,269.19
  5. Step 5: Solve for x
    x = 1,496,566,269.19/39,101.76
  6. Step 6: Final answer
    x = 38,273.63

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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.