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Finding the Fourth Proportional to 32,513.84, 48,764.60 and 10,327.40

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Solution

The fourth proportional to 32,513.84, 48,764.60 and 10,327.40 is: 15,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.84 : 48,764.60 = 10,327.40 : x
  2. Step 2: Convert to fraction form
    32,513.84/48,764.60 = 10,327.40/x
  3. Step 3: Cross multiply
    32,513.84x = 48,764.60 × 10,327.40
  4. Step 4: Simplify right side
    32,513.84x = 503,611,456.18
  5. Step 5: Solve for x
    x = 503,611,456.18/32,513.84
  6. Step 6: Final answer
    x = 15,489.14

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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.