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Finding the Fourth Proportional to 32,508.67, 48,770.31 and 10,322.77

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Solution

The fourth proportional to 32,508.67, 48,770.31 and 10,322.77 is: 15,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.67 : 48,770.31 = 10,322.77 : x
  2. Step 2: Convert to fraction form
    32,508.67/48,770.31 = 10,322.77/x
  3. Step 3: Cross multiply
    32,508.67x = 48,770.31 × 10,322.77
  4. Step 4: Simplify right side
    32,508.67x = 503,444,692.96
  5. Step 5: Solve for x
    x = 503,444,692.96/32,508.67
  6. Step 6: Final answer
    x = 15,486.47

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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.