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Finding the Fourth Proportional to 36,041.58, 49,726.49 and 20,931.32

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Solution

The fourth proportional to 36,041.58, 49,726.49 and 20,931.32 is: 28,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,041.58 : 49,726.49 = 20,931.32 : x
  2. Step 2: Convert to fraction form
    36,041.58/49,726.49 = 20,931.32/x
  3. Step 3: Cross multiply
    36,041.58x = 49,726.49 × 20,931.32
  4. Step 4: Simplify right side
    36,041.58x = 1,040,840,721.38
  5. Step 5: Solve for x
    x = 1,040,840,721.38/36,041.58
  6. Step 6: Final answer
    x = 28,878.89

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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.