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Finding the Fourth Proportional to 29,793.84, 44,698.14 and 9,017.40

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Solution

The fourth proportional to 29,793.84, 44,698.14 and 9,017.40 is: 13,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,793.84 : 44,698.14 = 9,017.40 : x
  2. Step 2: Convert to fraction form
    29,793.84/44,698.14 = 9,017.40/x
  3. Step 3: Cross multiply
    29,793.84x = 44,698.14 × 9,017.40
  4. Step 4: Simplify right side
    29,793.84x = 403,061,007.64
  5. Step 5: Solve for x
    x = 403,061,007.64/29,793.84
  6. Step 6: Final answer
    x = 13,528.33

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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.