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Finding the Fourth Proportional to 110,527.54, 165,790.83 and 31,641.74

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Solution

The fourth proportional to 110,527.54, 165,790.83 and 31,641.74 is: 47,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,527.54 : 165,790.83 = 31,641.74 : x
  2. Step 2: Convert to fraction form
    110,527.54/165,790.83 = 31,641.74/x
  3. Step 3: Cross multiply
    110,527.54x = 165,790.83 × 31,641.74
  4. Step 4: Simplify right side
    110,527.54x = 5,245,910,248.66
  5. Step 5: Solve for x
    x = 5,245,910,248.66/110,527.54
  6. Step 6: Final answer
    x = 47,462.47

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1.5x scale

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.