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Finding the Fourth Proportional to 29,962.40, 44,846.40 and 21,214.40

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Solution

The fourth proportional to 29,962.40, 44,846.40 and 21,214.40 is: 31,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.40 : 44,846.40 = 21,214.40 : x
  2. Step 2: Convert to fraction form
    29,962.40/44,846.40 = 21,214.40/x
  3. Step 3: Cross multiply
    29,962.40x = 44,846.40 × 21,214.40
  4. Step 4: Simplify right side
    29,962.40x = 951,389,468.16
  5. Step 5: Solve for x
    x = 951,389,468.16/29,962.40
  6. Step 6: Final answer
    x = 31,752.78

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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.