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Finding the Fourth Proportional to 22,827.80, 32,005 and 22,827.80

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Solution

The fourth proportional to 22,827.80, 32,005 and 22,827.80 is: 32,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.80 : 32,005 = 22,827.80 : x
  2. Step 2: Convert to fraction form
    22,827.80/32,005 = 22,827.80/x
  3. Step 3: Cross multiply
    22,827.80x = 32,005 × 22,827.80
  4. Step 4: Simplify right side
    22,827.80x = 730,603,739
  5. Step 5: Solve for x
    x = 730,603,739/22,827.80
  6. Step 6: Final answer
    x = 32,005

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.