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Finding the Fourth Proportional to 29,701, 40,988.66 and 16,453

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Solution

The fourth proportional to 29,701, 40,988.66 and 16,453 is: 22,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,701 : 40,988.66 = 16,453 : x
  2. Step 2: Convert to fraction form
    29,701/40,988.66 = 16,453/x
  3. Step 3: Cross multiply
    29,701x = 40,988.66 × 16,453
  4. Step 4: Simplify right side
    29,701x = 674,386,422.98
  5. Step 5: Solve for x
    x = 674,386,422.98/29,701
  6. Step 6: Final answer
    x = 22,705.85

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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.