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Finding the Fourth Proportional to 29,614.75, 44,444 and 14,032.38

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Solution

The fourth proportional to 29,614.75, 44,444 and 14,032.38 is: 21,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.75 : 44,444 = 14,032.38 : x
  2. Step 2: Convert to fraction form
    29,614.75/44,444 = 14,032.38/x
  3. Step 3: Cross multiply
    29,614.75x = 44,444 × 14,032.38
  4. Step 4: Simplify right side
    29,614.75x = 623,655,096.72
  5. Step 5: Solve for x
    x = 623,655,096.72/29,614.75
  6. Step 6: Final answer
    x = 21,058.94

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