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Finding the Fourth Proportional to 32,482, 44,825.22 and 17,578

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Solution

The fourth proportional to 32,482, 44,825.22 and 17,578 is: 24,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482 : 44,825.22 = 17,578 : x
  2. Step 2: Convert to fraction form
    32,482/44,825.22 = 17,578/x
  3. Step 3: Cross multiply
    32,482x = 44,825.22 × 17,578
  4. Step 4: Simplify right side
    32,482x = 787,937,717.16
  5. Step 5: Solve for x
    x = 787,937,717.16/32,482
  6. Step 6: Final answer
    x = 24,257.67

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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.