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Finding the Fourth Proportional to 56,642.74, 84,958.61 and 17,200.19

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Solution

The fourth proportional to 56,642.74, 84,958.61 and 17,200.19 is: 25,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642.74 : 84,958.61 = 17,200.19 : x
  2. Step 2: Convert to fraction form
    56,642.74/84,958.61 = 17,200.19/x
  3. Step 3: Cross multiply
    56,642.74x = 84,958.61 × 17,200.19
  4. Step 4: Simplify right side
    56,642.74x = 1,461,304,360.53
  5. Step 5: Solve for x
    x = 1,461,304,360.53/56,642.74
  6. Step 6: Final answer
    x = 25,798.62

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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.