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Finding the Fourth Proportional to 32,456.01, 48,692.64 and 10,269.78

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Solution

The fourth proportional to 32,456.01, 48,692.64 and 10,269.78 is: 15,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456.01 : 48,692.64 = 10,269.78 : x
  2. Step 2: Convert to fraction form
    32,456.01/48,692.64 = 10,269.78/x
  3. Step 3: Cross multiply
    32,456.01x = 48,692.64 × 10,269.78
  4. Step 4: Simplify right side
    32,456.01x = 500,062,700.42
  5. Step 5: Solve for x
    x = 500,062,700.42/32,456.01
  6. Step 6: Final answer
    x = 15,407.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.