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Finding the Fourth Proportional to 106,527.60, 159,747.12 and 31,620.96

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Solution

The fourth proportional to 106,527.60, 159,747.12 and 31,620.96 is: 47,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,527.60 : 159,747.12 = 31,620.96 : x
  2. Step 2: Convert to fraction form
    106,527.60/159,747.12 = 31,620.96/x
  3. Step 3: Cross multiply
    106,527.60x = 159,747.12 × 31,620.96
  4. Step 4: Simplify right side
    106,527.60x = 5,051,357,291.64
  5. Step 5: Solve for x
    x = 5,051,357,291.64/106,527.60
  6. Step 6: Final answer
    x = 47,418.30

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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.