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Finding the Fourth Proportional to 22,049.40, 32,978.10 and 19,726.20

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Solution

The fourth proportional to 22,049.40, 32,978.10 and 19,726.20 is: 29,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.40 : 32,978.10 = 19,726.20 : x
  2. Step 2: Convert to fraction form
    22,049.40/32,978.10 = 19,726.20/x
  3. Step 3: Cross multiply
    22,049.40x = 32,978.10 × 19,726.20
  4. Step 4: Simplify right side
    22,049.40x = 650,532,596.22
  5. Step 5: Solve for x
    x = 650,532,596.22/22,049.40
  6. Step 6: Final answer
    x = 29,503.41

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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.