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Finding the Fourth Proportional to 39,098, 53,955.24 and 21,434

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Solution

The fourth proportional to 39,098, 53,955.24 and 21,434 is: 29,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 53,955.24 = 21,434 : x
  2. Step 2: Convert to fraction form
    39,098/53,955.24 = 21,434/x
  3. Step 3: Cross multiply
    39,098x = 53,955.24 × 21,434
  4. Step 4: Simplify right side
    39,098x = 1,156,476,614.16
  5. Step 5: Solve for x
    x = 1,156,476,614.16/39,098
  6. Step 6: Final answer
    x = 29,578.92

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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.