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Finding the Fourth Proportional to 29,383, 44,045.34 and 13,772.68

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Solution

The fourth proportional to 29,383, 44,045.34 and 13,772.68 is: 20,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383 : 44,045.34 = 13,772.68 : x
  2. Step 2: Convert to fraction form
    29,383/44,045.34 = 13,772.68/x
  3. Step 3: Cross multiply
    29,383x = 44,045.34 × 13,772.68
  4. Step 4: Simplify right side
    29,383x = 606,622,373.31
  5. Step 5: Solve for x
    x = 606,622,373.31/29,383
  6. Step 6: Final answer
    x = 20,645.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.