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Finding the Fourth Proportional to 32,468.78, 48,663.99 and 15,803.84

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Solution

The fourth proportional to 32,468.78, 48,663.99 and 15,803.84 is: 23,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.78 : 48,663.99 = 15,803.84 : x
  2. Step 2: Convert to fraction form
    32,468.78/48,663.99 = 15,803.84/x
  3. Step 3: Cross multiply
    32,468.78x = 48,663.99 × 15,803.84
  4. Step 4: Simplify right side
    32,468.78x = 769,078,033.38
  5. Step 5: Solve for x
    x = 769,078,033.38/32,468.78
  6. Step 6: Final answer
    x = 23,686.69

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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.