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Finding the Fourth Proportional to 29,688.42, 44,537.48 and 14,100.78

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Solution

The fourth proportional to 29,688.42, 44,537.48 and 14,100.78 is: 21,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688.42 : 44,537.48 = 14,100.78 : x
  2. Step 2: Convert to fraction form
    29,688.42/44,537.48 = 14,100.78/x
  3. Step 3: Cross multiply
    29,688.42x = 44,537.48 × 14,100.78
  4. Step 4: Simplify right side
    29,688.42x = 628,013,207.23
  5. Step 5: Solve for x
    x = 628,013,207.23/29,688.42
  6. Step 6: Final answer
    x = 21,153.47

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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.