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Finding the Fourth Proportional to 110,399.80, 165,549.90 and 31,495.24

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Solution

The fourth proportional to 110,399.80, 165,549.90 and 31,495.24 is: 47,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,399.80 : 165,549.90 = 31,495.24 : x
  2. Step 2: Convert to fraction form
    110,399.80/165,549.90 = 31,495.24/x
  3. Step 3: Cross multiply
    110,399.80x = 165,549.90 × 31,495.24
  4. Step 4: Simplify right side
    110,399.80x = 5,214,033,832.48
  5. Step 5: Solve for x
    x = 5,214,033,832.48/110,399.80
  6. Step 6: Final answer
    x = 47,228.65

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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.