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Finding the Fourth Proportional to 106,398.83, 159,621.57 and 31,524.86

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Solution

The fourth proportional to 106,398.83, 159,621.57 and 31,524.86 is: 47,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398.83 : 159,621.57 = 31,524.86 : x
  2. Step 2: Convert to fraction form
    106,398.83/159,621.57 = 31,524.86/x
  3. Step 3: Cross multiply
    106,398.83x = 159,621.57 × 31,524.86
  4. Step 4: Simplify right side
    106,398.83x = 5,032,047,647.23
  5. Step 5: Solve for x
    x = 5,032,047,647.23/106,398.83
  6. Step 6: Final answer
    x = 47,294.20

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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.