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Finding the Fourth Proportional to 59,857.83, 82,600.02 and 33,000.53

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Solution

The fourth proportional to 59,857.83, 82,600.02 and 33,000.53 is: 45,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,857.83 : 82,600.02 = 33,000.53 : x
  2. Step 2: Convert to fraction form
    59,857.83/82,600.02 = 33,000.53/x
  3. Step 3: Cross multiply
    59,857.83x = 82,600.02 × 33,000.53
  4. Step 4: Simplify right side
    59,857.83x = 2,725,844,025.01
  5. Step 5: Solve for x
    x = 2,725,844,025.01/59,857.83
  6. Step 6: Final answer
    x = 45,538.64

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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.