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Finding the Fourth Proportional to 47,454.84, 71,193.15 and 16,290

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Solution

The fourth proportional to 47,454.84, 71,193.15 and 16,290 is: 24,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454.84 : 71,193.15 = 16,290 : x
  2. Step 2: Convert to fraction form
    47,454.84/71,193.15 = 16,290/x
  3. Step 3: Cross multiply
    47,454.84x = 71,193.15 × 16,290
  4. Step 4: Simplify right side
    47,454.84x = 1,159,736,413.50
  5. Step 5: Solve for x
    x = 1,159,736,413.50/47,454.84
  6. Step 6: Final answer
    x = 24,438.74

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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.