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Finding the Fourth Proportional to 47,454.80, 71,187.06 and 16,286

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Solution

The fourth proportional to 47,454.80, 71,187.06 and 16,286 is: 24,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454.80 : 71,187.06 = 16,286 : x
  2. Step 2: Convert to fraction form
    47,454.80/71,187.06 = 16,286/x
  3. Step 3: Cross multiply
    47,454.80x = 71,187.06 × 16,286
  4. Step 4: Simplify right side
    47,454.80x = 1,159,352,459.16
  5. Step 5: Solve for x
    x = 1,159,352,459.16/47,454.80
  6. Step 6: Final answer
    x = 24,430.67

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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.