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Finding the Fourth Proportional to 71,058.68, 106,569.45 and 21,125.33

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Solution

The fourth proportional to 71,058.68, 106,569.45 and 21,125.33 is: 31,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,058.68 : 106,569.45 = 21,125.33 : x
  2. Step 2: Convert to fraction form
    71,058.68/106,569.45 = 21,125.33/x
  3. Step 3: Cross multiply
    71,058.68x = 106,569.45 × 21,125.33
  4. Step 4: Simplify right side
    71,058.68x = 2,251,314,266.32
  5. Step 5: Solve for x
    x = 2,251,314,266.32/71,058.68
  6. Step 6: Final answer
    x = 31,682.47

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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.