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Finding the Fourth Proportional to 110,542.98, 165,813.76 and 31,657.49

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Solution

The fourth proportional to 110,542.98, 165,813.76 and 31,657.49 is: 47,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542.98 : 165,813.76 = 31,657.49 : x
  2. Step 2: Convert to fraction form
    110,542.98/165,813.76 = 31,657.49/x
  3. Step 3: Cross multiply
    110,542.98x = 165,813.76 × 31,657.49
  4. Step 4: Simplify right side
    110,542.98x = 5,249,247,449.06
  5. Step 5: Solve for x
    x = 5,249,247,449.06/110,542.98
  6. Step 6: Final answer
    x = 47,486.03

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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.