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Finding the Fourth Proportional to 47,321.20, 70,981.80 and 42,137.20

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Solution

The fourth proportional to 47,321.20, 70,981.80 and 42,137.20 is: 63,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.20 : 70,981.80 = 42,137.20 : x
  2. Step 2: Convert to fraction form
    47,321.20/70,981.80 = 42,137.20/x
  3. Step 3: Cross multiply
    47,321.20x = 70,981.80 × 42,137.20
  4. Step 4: Simplify right side
    47,321.20x = 2,990,974,302.96
  5. Step 5: Solve for x
    x = 2,990,974,302.96/47,321.20
  6. Step 6: Final answer
    x = 63,205.80

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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.