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Finding the Fourth Proportional to 59,089.34, 81,543.81 and 32,231.96

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Solution

The fourth proportional to 59,089.34, 81,543.81 and 32,231.96 is: 44,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,089.34 : 81,543.81 = 32,231.96 : x
  2. Step 2: Convert to fraction form
    59,089.34/81,543.81 = 32,231.96/x
  3. Step 3: Cross multiply
    59,089.34x = 81,543.81 × 32,231.96
  4. Step 4: Simplify right side
    59,089.34x = 2,628,317,027.83
  5. Step 5: Solve for x
    x = 2,628,317,027.83/59,089.34
  6. Step 6: Final answer
    x = 44,480.39

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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.