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Finding the Fourth Proportional to 32,012.69, 48,012.40 and 9,523.49

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Solution

The fourth proportional to 32,012.69, 48,012.40 and 9,523.49 is: 14,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.69 : 48,012.40 = 9,523.49 : x
  2. Step 2: Convert to fraction form
    32,012.69/48,012.40 = 9,523.49/x
  3. Step 3: Cross multiply
    32,012.69x = 48,012.40 × 9,523.49
  4. Step 4: Simplify right side
    32,012.69x = 457,245,563.66
  5. Step 5: Solve for x
    x = 457,245,563.66/32,012.69
  6. Step 6: Final answer
    x = 14,283.26

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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.