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Finding the Fourth Proportional to 105,058.50, 157,589.10 and 34,937.82

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Solution

The fourth proportional to 105,058.50, 157,589.10 and 34,937.82 is: 52,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,058.50 : 157,589.10 = 34,937.82 : x
  2. Step 2: Convert to fraction form
    105,058.50/157,589.10 = 34,937.82/x
  3. Step 3: Cross multiply
    105,058.50x = 157,589.10 × 34,937.82
  4. Step 4: Simplify right side
    105,058.50x = 5,505,819,609.76
  5. Step 5: Solve for x
    x = 5,505,819,609.76/105,058.50
  6. Step 6: Final answer
    x = 52,407.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.