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Finding the Fourth Proportional to 32,777.40, 49,115.70 and 24,418.20

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Solution

The fourth proportional to 32,777.40, 49,115.70 and 24,418.20 is: 36,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,777.40 : 49,115.70 = 24,418.20 : x
  2. Step 2: Convert to fraction form
    32,777.40/49,115.70 = 24,418.20/x
  3. Step 3: Cross multiply
    32,777.40x = 49,115.70 × 24,418.20
  4. Step 4: Simplify right side
    32,777.40x = 1,199,316,985.74
  5. Step 5: Solve for x
    x = 1,199,316,985.74/32,777.40
  6. Step 6: Final answer
    x = 36,589.75

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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.