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Finding the Fourth Proportional to 29,862.69, 41,210.48 and 16,434.39

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Solution

The fourth proportional to 29,862.69, 41,210.48 and 16,434.39 is: 22,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,862.69 : 41,210.48 = 16,434.39 : x
  2. Step 2: Convert to fraction form
    29,862.69/41,210.48 = 16,434.39/x
  3. Step 3: Cross multiply
    29,862.69x = 41,210.48 × 16,434.39
  4. Step 4: Simplify right side
    29,862.69x = 677,269,319.14
  5. Step 5: Solve for x
    x = 677,269,319.14/29,862.69
  6. Step 6: Final answer
    x = 22,679.45

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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.