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Finding the Fourth Proportional to 22,141.49, 33,065.48 and 19,458.77

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Solution

The fourth proportional to 22,141.49, 33,065.48 and 19,458.77 is: 29,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.49 : 33,065.48 = 19,458.77 : x
  2. Step 2: Convert to fraction form
    22,141.49/33,065.48 = 19,458.77/x
  3. Step 3: Cross multiply
    22,141.49x = 33,065.48 × 19,458.77
  4. Step 4: Simplify right side
    22,141.49x = 643,413,570.26
  5. Step 5: Solve for x
    x = 643,413,570.26/22,141.49
  6. Step 6: Final answer
    x = 29,059.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.