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Finding the Fourth Proportional to 59,902.74, 82,665.80 and 33,045.32

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Solution

The fourth proportional to 59,902.74, 82,665.80 and 33,045.32 is: 45,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902.74 : 82,665.80 = 33,045.32 : x
  2. Step 2: Convert to fraction form
    59,902.74/82,665.80 = 33,045.32/x
  3. Step 3: Cross multiply
    59,902.74x = 82,665.80 × 33,045.32
  4. Step 4: Simplify right side
    59,902.74x = 2,731,717,235.50
  5. Step 5: Solve for x
    x = 2,731,717,235.50/59,902.74
  6. Step 6: Final answer
    x = 45,602.54

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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.