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Finding the Fourth Proportional to 110,446.65, 165,675.74 and 31,572.81

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Solution

The fourth proportional to 110,446.65, 165,675.74 and 31,572.81 is: 47,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,446.65 : 165,675.74 = 31,572.81 : x
  2. Step 2: Convert to fraction form
    110,446.65/165,675.74 = 31,572.81/x
  3. Step 3: Cross multiply
    110,446.65x = 165,675.74 × 31,572.81
  4. Step 4: Simplify right side
    110,446.65x = 5,230,848,502.77
  5. Step 5: Solve for x
    x = 5,230,848,502.77/110,446.65
  6. Step 6: Final answer
    x = 47,360.86

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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.