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Finding the Fourth Proportional to 39,098.17, 53,955.27 and 21,193.12

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Solution

The fourth proportional to 39,098.17, 53,955.27 and 21,193.12 is: 29,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098.17 : 53,955.27 = 21,193.12 : x
  2. Step 2: Convert to fraction form
    39,098.17/53,955.27 = 21,193.12/x
  3. Step 3: Cross multiply
    39,098.17x = 53,955.27 × 21,193.12
  4. Step 4: Simplify right side
    39,098.17x = 1,143,480,511.74
  5. Step 5: Solve for x
    x = 1,143,480,511.74/39,098.17
  6. Step 6: Final answer
    x = 29,246.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.