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Finding the Fourth Proportional to 59,538.52, 82,119.84 and 39,412.64

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Solution

The fourth proportional to 59,538.52, 82,119.84 and 39,412.64 is: 54,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538.52 : 82,119.84 = 39,412.64 : x
  2. Step 2: Convert to fraction form
    59,538.52/82,119.84 = 39,412.64/x
  3. Step 3: Cross multiply
    59,538.52x = 82,119.84 × 39,412.64
  4. Step 4: Simplify right side
    59,538.52x = 3,236,559,690.78
  5. Step 5: Solve for x
    x = 3,236,559,690.78/59,538.52
  6. Step 6: Final answer
    x = 54,360.77

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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.