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Finding the Fourth Proportional to 59,971.24, 82,759.62 and 41,114.44

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Solution

The fourth proportional to 59,971.24, 82,759.62 and 41,114.44 is: 56,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,971.24 : 82,759.62 = 41,114.44 : x
  2. Step 2: Convert to fraction form
    59,971.24/82,759.62 = 41,114.44/x
  3. Step 3: Cross multiply
    59,971.24x = 82,759.62 × 41,114.44
  4. Step 4: Simplify right side
    59,971.24x = 3,402,615,430.91
  5. Step 5: Solve for x
    x = 3,402,615,430.91/59,971.24
  6. Step 6: Final answer
    x = 56,737.45

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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.