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Finding the Fourth Proportional to 30,149.80, 41,607.84 and 22,582.78

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Solution

The fourth proportional to 30,149.80, 41,607.84 and 22,582.78 is: 31,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.80 : 41,607.84 = 22,582.78 : x
  2. Step 2: Convert to fraction form
    30,149.80/41,607.84 = 22,582.78/x
  3. Step 3: Cross multiply
    30,149.80x = 41,607.84 × 22,582.78
  4. Step 4: Simplify right side
    30,149.80x = 939,620,697.00
  5. Step 5: Solve for x
    x = 939,620,697.00/30,149.80
  6. Step 6: Final answer
    x = 31,165.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.