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Finding the Fourth Proportional to 48,007.80, 71,946.90 and 32,167.80

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Solution

The fourth proportional to 48,007.80, 71,946.90 and 32,167.80 is: 48,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,007.80 : 71,946.90 = 32,167.80 : x
  2. Step 2: Convert to fraction form
    48,007.80/71,946.90 = 32,167.80/x
  3. Step 3: Cross multiply
    48,007.80x = 71,946.90 × 32,167.80
  4. Step 4: Simplify right side
    48,007.80x = 2,314,373,489.82
  5. Step 5: Solve for x
    x = 2,314,373,489.82/48,007.80
  6. Step 6: Final answer
    x = 48,208.28

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1.5x scale

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.