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Finding the Fourth Proportional to 32,482.50, 44,825.85 and 17,578.50

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Solution

The fourth proportional to 32,482.50, 44,825.85 and 17,578.50 is: 24,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.50 : 44,825.85 = 17,578.50 : x
  2. Step 2: Convert to fraction form
    32,482.50/44,825.85 = 17,578.50/x
  3. Step 3: Cross multiply
    32,482.50x = 44,825.85 × 17,578.50
  4. Step 4: Simplify right side
    32,482.50x = 787,971,204.23
  5. Step 5: Solve for x
    x = 787,971,204.23/32,482.50
  6. Step 6: Final answer
    x = 24,258.33

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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.