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Finding the Fourth Proportional to 41,030.01, 61,544.73 and 11,448

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Solution

The fourth proportional to 41,030.01, 61,544.73 and 11,448 is: 17,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,030.01 : 61,544.73 = 11,448 : x
  2. Step 2: Convert to fraction form
    41,030.01/61,544.73 = 11,448/x
  3. Step 3: Cross multiply
    41,030.01x = 61,544.73 × 11,448
  4. Step 4: Simplify right side
    41,030.01x = 704,564,069.04
  5. Step 5: Solve for x
    x = 704,564,069.04/41,030.01
  6. Step 6: Final answer
    x = 17,171.92

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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.