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Finding the Fourth Proportional to 29,578.50, 44,345.88 and 9,845.28

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Solution

The fourth proportional to 29,578.50, 44,345.88 and 9,845.28 is: 14,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.50 : 44,345.88 = 9,845.28 : x
  2. Step 2: Convert to fraction form
    29,578.50/44,345.88 = 9,845.28/x
  3. Step 3: Cross multiply
    29,578.50x = 44,345.88 × 9,845.28
  4. Step 4: Simplify right side
    29,578.50x = 436,597,605.45
  5. Step 5: Solve for x
    x = 436,597,605.45/29,578.50
  6. Step 6: Final answer
    x = 14,760.64

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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.