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Finding the Fourth Proportional to 29,567, 40,802.46 and 16,319

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Solution

The fourth proportional to 29,567, 40,802.46 and 16,319 is: 22,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567 : 40,802.46 = 16,319 : x
  2. Step 2: Convert to fraction form
    29,567/40,802.46 = 16,319/x
  3. Step 3: Cross multiply
    29,567x = 40,802.46 × 16,319
  4. Step 4: Simplify right side
    29,567x = 665,855,344.74
  5. Step 5: Solve for x
    x = 665,855,344.74/29,567
  6. Step 6: Final answer
    x = 22,520.22

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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.