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Finding the Fourth Proportional to 32,576.49, 48,788.19 and 15,884.19

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Solution

The fourth proportional to 32,576.49, 48,788.19 and 15,884.19 is: 23,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.49 : 48,788.19 = 15,884.19 : x
  2. Step 2: Convert to fraction form
    32,576.49/48,788.19 = 15,884.19/x
  3. Step 3: Cross multiply
    32,576.49x = 48,788.19 × 15,884.19
  4. Step 4: Simplify right side
    32,576.49x = 774,960,879.72
  5. Step 5: Solve for x
    x = 774,960,879.72/32,576.49
  6. Step 6: Final answer
    x = 23,788.96

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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.