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Finding the Fourth Proportional to 39,079.44, 53,873.64 and 27,882

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Solution

The fourth proportional to 39,079.44, 53,873.64 and 27,882 is: 38,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,079.44 : 53,873.64 = 27,882 : x
  2. Step 2: Convert to fraction form
    39,079.44/53,873.64 = 27,882/x
  3. Step 3: Cross multiply
    39,079.44x = 53,873.64 × 27,882
  4. Step 4: Simplify right side
    39,079.44x = 1,502,104,830.48
  5. Step 5: Solve for x
    x = 1,502,104,830.48/39,079.44
  6. Step 6: Final answer
    x = 38,437.21

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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.