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Finding the Fourth Proportional to 29,384, 40,549.92 and 16,136

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Solution

The fourth proportional to 29,384, 40,549.92 and 16,136 is: 22,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384 : 40,549.92 = 16,136 : x
  2. Step 2: Convert to fraction form
    29,384/40,549.92 = 16,136/x
  3. Step 3: Cross multiply
    29,384x = 40,549.92 × 16,136
  4. Step 4: Simplify right side
    29,384x = 654,313,509.12
  5. Step 5: Solve for x
    x = 654,313,509.12/29,384
  6. Step 6: Final answer
    x = 22,267.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.