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Finding the Fourth Proportional to 32,578.25, 48,870.12 and 10,394.78

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Solution

The fourth proportional to 32,578.25, 48,870.12 and 10,394.78 is: 15,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.25 : 48,870.12 = 10,394.78 : x
  2. Step 2: Convert to fraction form
    32,578.25/48,870.12 = 10,394.78/x
  3. Step 3: Cross multiply
    32,578.25x = 48,870.12 × 10,394.78
  4. Step 4: Simplify right side
    32,578.25x = 507,994,145.97
  5. Step 5: Solve for x
    x = 507,994,145.97/32,578.25
  6. Step 6: Final answer
    x = 15,593.05

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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.