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Finding the Fourth Proportional to 59,804.78, 89,709.22 and 31,686.80

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Solution

The fourth proportional to 59,804.78, 89,709.22 and 31,686.80 is: 47,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,804.78 : 89,709.22 = 31,686.80 : x
  2. Step 2: Convert to fraction form
    59,804.78/89,709.22 = 31,686.80/x
  3. Step 3: Cross multiply
    59,804.78x = 89,709.22 × 31,686.80
  4. Step 4: Simplify right side
    59,804.78x = 2,842,598,112.30
  5. Step 5: Solve for x
    x = 2,842,598,112.30/59,804.78
  6. Step 6: Final answer
    x = 47,531.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.