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Finding the Fourth Proportional to 52,006.70, 78,010.05 and 41,984.30

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Solution

The fourth proportional to 52,006.70, 78,010.05 and 41,984.30 is: 62,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.70 : 78,010.05 = 41,984.30 : x
  2. Step 2: Convert to fraction form
    52,006.70/78,010.05 = 41,984.30/x
  3. Step 3: Cross multiply
    52,006.70x = 78,010.05 × 41,984.30
  4. Step 4: Simplify right side
    52,006.70x = 3,275,197,342.22
  5. Step 5: Solve for x
    x = 3,275,197,342.22/52,006.70
  6. Step 6: Final answer
    x = 62,976.45

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