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Finding the Fourth Proportional to 29,614.50, 44,443.59 and 14,032.14

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Solution

The fourth proportional to 29,614.50, 44,443.59 and 14,032.14 is: 21,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.50 : 44,443.59 = 14,032.14 : x
  2. Step 2: Convert to fraction form
    29,614.50/44,443.59 = 14,032.14/x
  3. Step 3: Cross multiply
    29,614.50x = 44,443.59 × 14,032.14
  4. Step 4: Simplify right side
    29,614.50x = 623,638,676.98
  5. Step 5: Solve for x
    x = 623,638,676.98/29,614.50
  6. Step 6: Final answer
    x = 21,058.56

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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.