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Finding the Fourth Proportional to 82,010.46, 122,566.30 and 59,870.46

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Solution

The fourth proportional to 82,010.46, 122,566.30 and 59,870.46 is: 89,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,010.46 : 122,566.30 = 59,870.46 : x
  2. Step 2: Convert to fraction form
    82,010.46/122,566.30 = 59,870.46/x
  3. Step 3: Cross multiply
    82,010.46x = 122,566.30 × 59,870.46
  4. Step 4: Simplify right side
    82,010.46x = 7,338,100,761.50
  5. Step 5: Solve for x
    x = 7,338,100,761.50/82,010.46
  6. Step 6: Final answer
    x = 89,477.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.