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Finding the Fourth Proportional to 73,058.49, 109,586.52 and 23,138.49

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Solution

The fourth proportional to 73,058.49, 109,586.52 and 23,138.49 is: 34,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,058.49 : 109,586.52 = 23,138.49 : x
  2. Step 2: Convert to fraction form
    73,058.49/109,586.52 = 23,138.49/x
  3. Step 3: Cross multiply
    73,058.49x = 109,586.52 × 23,138.49
  4. Step 4: Simplify right side
    73,058.49x = 2,535,666,597.15
  5. Step 5: Solve for x
    x = 2,535,666,597.15/73,058.49
  6. Step 6: Final answer
    x = 34,707.35

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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.