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Finding the Fourth Proportional to 41,114.82, 61,672.02 and 9,950.08

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Solution

The fourth proportional to 41,114.82, 61,672.02 and 9,950.08 is: 14,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114.82 : 61,672.02 = 9,950.08 : x
  2. Step 2: Convert to fraction form
    41,114.82/61,672.02 = 9,950.08/x
  3. Step 3: Cross multiply
    41,114.82x = 61,672.02 × 9,950.08
  4. Step 4: Simplify right side
    41,114.82x = 613,641,532.76
  5. Step 5: Solve for x
    x = 613,641,532.76/41,114.82
  6. Step 6: Final answer
    x = 14,925.07

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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.