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Finding the Fourth Proportional to 29,501, 40,711.38 and 16,253

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Solution

The fourth proportional to 29,501, 40,711.38 and 16,253 is: 22,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,501 : 40,711.38 = 16,253 : x
  2. Step 2: Convert to fraction form
    29,501/40,711.38 = 16,253/x
  3. Step 3: Cross multiply
    29,501x = 40,711.38 × 16,253
  4. Step 4: Simplify right side
    29,501x = 661,682,059.14
  5. Step 5: Solve for x
    x = 661,682,059.14/29,501
  6. Step 6: Final answer
    x = 22,429.14

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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.