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Finding the Fourth Proportional to 71,522.64, 107,284.05 and 24,775.51

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Solution

The fourth proportional to 71,522.64, 107,284.05 and 24,775.51 is: 37,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,522.64 : 107,284.05 = 24,775.51 : x
  2. Step 2: Convert to fraction form
    71,522.64/107,284.05 = 24,775.51/x
  3. Step 3: Cross multiply
    71,522.64x = 107,284.05 × 24,775.51
  4. Step 4: Simplify right side
    71,522.64x = 2,658,017,053.62
  5. Step 5: Solve for x
    x = 2,658,017,053.62/71,522.64
  6. Step 6: Final answer
    x = 37,163.30

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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.