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Finding the Fourth Proportional to 38,874.42, 53,662.95 and 26,306.46

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Solution

The fourth proportional to 38,874.42, 53,662.95 and 26,306.46 is: 36,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.42 : 53,662.95 = 26,306.46 : x
  2. Step 2: Convert to fraction form
    38,874.42/53,662.95 = 26,306.46/x
  3. Step 3: Cross multiply
    38,874.42x = 53,662.95 × 26,306.46
  4. Step 4: Simplify right side
    38,874.42x = 1,411,682,247.66
  5. Step 5: Solve for x
    x = 1,411,682,247.66/38,874.42
  6. Step 6: Final answer
    x = 36,313.91

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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.