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Finding the Fourth Proportional to 32,609.66, 48,893.42 and 10,415.66

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Solution

The fourth proportional to 32,609.66, 48,893.42 and 10,415.66 is: 15,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.66 : 48,893.42 = 10,415.66 : x
  2. Step 2: Convert to fraction form
    32,609.66/48,893.42 = 10,415.66/x
  3. Step 3: Cross multiply
    32,609.66x = 48,893.42 × 10,415.66
  4. Step 4: Simplify right side
    32,609.66x = 509,257,020.53
  5. Step 5: Solve for x
    x = 509,257,020.53/32,609.66
  6. Step 6: Final answer
    x = 15,616.76

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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.