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Finding the Fourth Proportional to 40,574.34, 55,988.49 and 27,838.48

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Solution

The fourth proportional to 40,574.34, 55,988.49 and 27,838.48 is: 38,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,574.34 : 55,988.49 = 27,838.48 : x
  2. Step 2: Convert to fraction form
    40,574.34/55,988.49 = 27,838.48/x
  3. Step 3: Cross multiply
    40,574.34x = 55,988.49 × 27,838.48
  4. Step 4: Simplify right side
    40,574.34x = 1,558,634,319.90
  5. Step 5: Solve for x
    x = 1,558,634,319.90/40,574.34
  6. Step 6: Final answer
    x = 38,414.29

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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.