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Finding the Fourth Proportional to 105,991.81, 159,042.20 and 58,598.11

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Solution

The fourth proportional to 105,991.81, 159,042.20 and 58,598.11 is: 87,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991.81 : 159,042.20 = 58,598.11 : x
  2. Step 2: Convert to fraction form
    105,991.81/159,042.20 = 58,598.11/x
  3. Step 3: Cross multiply
    105,991.81x = 159,042.20 × 58,598.11
  4. Step 4: Simplify right side
    105,991.81x = 9,319,572,330.24
  5. Step 5: Solve for x
    x = 9,319,572,330.24/105,991.81
  6. Step 6: Final answer
    x = 87,927.29

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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.