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Finding the Fourth Proportional to 29,901.96, 44,827.02 and 11,421

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Solution

The fourth proportional to 29,901.96, 44,827.02 and 11,421 is: 17,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,901.96 : 44,827.02 = 11,421 : x
  2. Step 2: Convert to fraction form
    29,901.96/44,827.02 = 11,421/x
  3. Step 3: Cross multiply
    29,901.96x = 44,827.02 × 11,421
  4. Step 4: Simplify right side
    29,901.96x = 511,969,395.42
  5. Step 5: Solve for x
    x = 511,969,395.42/29,901.96
  6. Step 6: Final answer
    x = 17,121.60

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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.