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Finding the Fourth Proportional to 59,697.53, 82,382 and 32,840.07

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Solution

The fourth proportional to 59,697.53, 82,382 and 32,840.07 is: 45,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,697.53 : 82,382 = 32,840.07 : x
  2. Step 2: Convert to fraction form
    59,697.53/82,382 = 32,840.07/x
  3. Step 3: Cross multiply
    59,697.53x = 82,382 × 32,840.07
  4. Step 4: Simplify right side
    59,697.53x = 2,705,430,646.74
  5. Step 5: Solve for x
    x = 2,705,430,646.74/59,697.53
  6. Step 6: Final answer
    x = 45,318.97

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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.