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Finding the Fourth Proportional to 107,092.56, 147,786 and 59,345.76

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Solution

The fourth proportional to 107,092.56, 147,786 and 59,345.76 is: 81,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092.56 : 147,786 = 59,345.76 : x
  2. Step 2: Convert to fraction form
    107,092.56/147,786 = 59,345.76/x
  3. Step 3: Cross multiply
    107,092.56x = 147,786 × 59,345.76
  4. Step 4: Simplify right side
    107,092.56x = 8,770,472,487.36
  5. Step 5: Solve for x
    x = 8,770,472,487.36/107,092.56
  6. Step 6: Final answer
    x = 81,896.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.