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Finding the Fourth Proportional to 32,327.84, 48,491.76 and 10,142.99

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Solution

The fourth proportional to 32,327.84, 48,491.76 and 10,142.99 is: 15,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.84 : 48,491.76 = 10,142.99 : x
  2. Step 2: Convert to fraction form
    32,327.84/48,491.76 = 10,142.99/x
  3. Step 3: Cross multiply
    32,327.84x = 48,491.76 × 10,142.99
  4. Step 4: Simplify right side
    32,327.84x = 491,851,436.76
  5. Step 5: Solve for x
    x = 491,851,436.76/32,327.84
  6. Step 6: Final answer
    x = 15,214.49

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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.