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Finding the Fourth Proportional to 32,394.84, 48,593.99 and 10,209.95

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Solution

The fourth proportional to 32,394.84, 48,593.99 and 10,209.95 is: 15,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.84 : 48,593.99 = 10,209.95 : x
  2. Step 2: Convert to fraction form
    32,394.84/48,593.99 = 10,209.95/x
  3. Step 3: Cross multiply
    32,394.84x = 48,593.99 × 10,209.95
  4. Step 4: Simplify right side
    32,394.84x = 496,142,172.98
  5. Step 5: Solve for x
    x = 496,142,172.98/32,394.84
  6. Step 6: Final answer
    x = 15,315.47

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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.