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Finding the Fourth Proportional to 29,199.25, 40,295.01 and 16,624

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Solution

The fourth proportional to 29,199.25, 40,295.01 and 16,624 is: 22,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199.25 : 40,295.01 = 16,624 : x
  2. Step 2: Convert to fraction form
    29,199.25/40,295.01 = 16,624/x
  3. Step 3: Cross multiply
    29,199.25x = 40,295.01 × 16,624
  4. Step 4: Simplify right side
    29,199.25x = 669,864,246.24
  5. Step 5: Solve for x
    x = 669,864,246.24/29,199.25
  6. Step 6: Final answer
    x = 22,941.15

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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.