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Finding the Fourth Proportional to 47,323.20, 70,984.80 and 42,949.20

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Solution

The fourth proportional to 47,323.20, 70,984.80 and 42,949.20 is: 64,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323.20 : 70,984.80 = 42,949.20 : x
  2. Step 2: Convert to fraction form
    47,323.20/70,984.80 = 42,949.20/x
  3. Step 3: Cross multiply
    47,323.20x = 70,984.80 × 42,949.20
  4. Step 4: Simplify right side
    47,323.20x = 3,048,740,372.16
  5. Step 5: Solve for x
    x = 3,048,740,372.16/47,323.20
  6. Step 6: Final answer
    x = 64,423.80

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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.