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Finding the Fourth Proportional to 75,033.32, 103,112.87 and 71,564.09

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Solution

The fourth proportional to 75,033.32, 103,112.87 and 71,564.09 is: 98,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,033.32 : 103,112.87 = 71,564.09 : x
  2. Step 2: Convert to fraction form
    75,033.32/103,112.87 = 71,564.09/x
  3. Step 3: Cross multiply
    75,033.32x = 103,112.87 × 71,564.09
  4. Step 4: Simplify right side
    75,033.32x = 7,379,177,835.45
  5. Step 5: Solve for x
    x = 7,379,177,835.45/75,033.32
  6. Step 6: Final answer
    x = 98,345.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.