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Finding the Fourth Proportional to 29,702, 40,988.76 and 16,454

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Solution

The fourth proportional to 29,702, 40,988.76 and 16,454 is: 22,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 40,988.76 = 16,454 : x
  2. Step 2: Convert to fraction form
    29,702/40,988.76 = 16,454/x
  3. Step 3: Cross multiply
    29,702x = 40,988.76 × 16,454
  4. Step 4: Simplify right side
    29,702x = 674,429,057.04
  5. Step 5: Solve for x
    x = 674,429,057.04/29,702
  6. Step 6: Final answer
    x = 22,706.52

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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.