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Finding the Fourth Proportional to 53,509.34, 80,209.24 and 34,826.90

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Solution

The fourth proportional to 53,509.34, 80,209.24 and 34,826.90 is: 52,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,509.34 : 80,209.24 = 34,826.90 : x
  2. Step 2: Convert to fraction form
    53,509.34/80,209.24 = 34,826.90/x
  3. Step 3: Cross multiply
    53,509.34x = 80,209.24 × 34,826.90
  4. Step 4: Simplify right side
    53,509.34x = 2,793,438,692.44
  5. Step 5: Solve for x
    x = 2,793,438,692.44/53,509.34
  6. Step 6: Final answer
    x = 52,204.69

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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.