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Finding the Fourth Proportional to 38,406.56, 57,590.16 and 17,612

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Solution

The fourth proportional to 38,406.56, 57,590.16 and 17,612 is: 26,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.56 : 57,590.16 = 17,612 : x
  2. Step 2: Convert to fraction form
    38,406.56/57,590.16 = 17,612/x
  3. Step 3: Cross multiply
    38,406.56x = 57,590.16 × 17,612
  4. Step 4: Simplify right side
    38,406.56x = 1,014,277,897.92
  5. Step 5: Solve for x
    x = 1,014,277,897.92/38,406.56
  6. Step 6: Final answer
    x = 26,408.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.