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Finding the Fourth Proportional to 55,051.74, 82,580.75 and 15,605.75

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Solution

The fourth proportional to 55,051.74, 82,580.75 and 15,605.75 is: 23,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,051.74 : 82,580.75 = 15,605.75 : x
  2. Step 2: Convert to fraction form
    55,051.74/82,580.75 = 15,605.75/x
  3. Step 3: Cross multiply
    55,051.74x = 82,580.75 × 15,605.75
  4. Step 4: Simplify right side
    55,051.74x = 1,288,734,539.31
  5. Step 5: Solve for x
    x = 1,288,734,539.31/55,051.74
  6. Step 6: Final answer
    x = 23,409.52

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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.