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Finding the Fourth Proportional to 32,007.80, 48,011.70 and 20,948.60

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Solution

The fourth proportional to 32,007.80, 48,011.70 and 20,948.60 is: 31,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.80 : 48,011.70 = 20,948.60 : x
  2. Step 2: Convert to fraction form
    32,007.80/48,011.70 = 20,948.60/x
  3. Step 3: Cross multiply
    32,007.80x = 48,011.70 × 20,948.60
  4. Step 4: Simplify right side
    32,007.80x = 1,005,777,898.62
  5. Step 5: Solve for x
    x = 1,005,777,898.62/32,007.80
  6. Step 6: Final answer
    x = 31,422.90

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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.