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Finding the Fourth Proportional to 32,482.78, 44,826.24 and 17,578.78

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Solution

The fourth proportional to 32,482.78, 44,826.24 and 17,578.78 is: 24,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.78 : 44,826.24 = 17,578.78 : x
  2. Step 2: Convert to fraction form
    32,482.78/44,826.24 = 17,578.78/x
  3. Step 3: Cross multiply
    32,482.78x = 44,826.24 × 17,578.78
  4. Step 4: Simplify right side
    32,482.78x = 787,990,611.19
  5. Step 5: Solve for x
    x = 787,990,611.19/32,482.78
  6. Step 6: Final answer
    x = 24,258.72

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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.