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Finding the Fourth Proportional to 41,055.76, 61,583.64 and 9,891

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Solution

The fourth proportional to 41,055.76, 61,583.64 and 9,891 is: 14,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,055.76 : 61,583.64 = 9,891 : x
  2. Step 2: Convert to fraction form
    41,055.76/61,583.64 = 9,891/x
  3. Step 3: Cross multiply
    41,055.76x = 61,583.64 × 9,891
  4. Step 4: Simplify right side
    41,055.76x = 609,123,783.24
  5. Step 5: Solve for x
    x = 609,123,783.24/41,055.76
  6. Step 6: Final answer
    x = 14,836.50

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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.