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Finding the Fourth Proportional to 52,494.86, 78,722.24 and 22,506.23

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Solution

The fourth proportional to 52,494.86, 78,722.24 and 22,506.23 is: 33,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.86 : 78,722.24 = 22,506.23 : x
  2. Step 2: Convert to fraction form
    52,494.86/78,722.24 = 22,506.23/x
  3. Step 3: Cross multiply
    52,494.86x = 78,722.24 × 22,506.23
  4. Step 4: Simplify right side
    52,494.86x = 1,771,740,839.56
  5. Step 5: Solve for x
    x = 1,771,740,839.56/52,494.86
  6. Step 6: Final answer
    x = 33,750.75

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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.