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Finding the Fourth Proportional to 69,820.98, 96,353.94 and 37,989.90

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Solution

The fourth proportional to 69,820.98, 96,353.94 and 37,989.90 is: 52,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820.98 : 96,353.94 = 37,989.90 : x
  2. Step 2: Convert to fraction form
    69,820.98/96,353.94 = 37,989.90/x
  3. Step 3: Cross multiply
    69,820.98x = 96,353.94 × 37,989.90
  4. Step 4: Simplify right side
    69,820.98x = 3,660,476,545.21
  5. Step 5: Solve for x
    x = 3,660,476,545.21/69,820.98
  6. Step 6: Final answer
    x = 52,426.60

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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.