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Finding the Fourth Proportional to 96,058.31, 144,068.02 and 25,921.22

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Solution

The fourth proportional to 96,058.31, 144,068.02 and 25,921.22 is: 38,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058.31 : 144,068.02 = 25,921.22 : x
  2. Step 2: Convert to fraction form
    96,058.31/144,068.02 = 25,921.22/x
  3. Step 3: Cross multiply
    96,058.31x = 144,068.02 × 25,921.22
  4. Step 4: Simplify right side
    96,058.31x = 3,734,418,056.24
  5. Step 5: Solve for x
    x = 3,734,418,056.24/96,058.31
  6. Step 6: Final answer
    x = 38,876.58

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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.