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Finding the Fourth Proportional to 66,909, 100,402.38 and 29,973

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Solution

The fourth proportional to 66,909, 100,402.38 and 29,973 is: 44,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,909 : 100,402.38 = 29,973 : x
  2. Step 2: Convert to fraction form
    66,909/100,402.38 = 29,973/x
  3. Step 3: Cross multiply
    66,909x = 100,402.38 × 29,973
  4. Step 4: Simplify right side
    66,909x = 3,009,360,535.74
  5. Step 5: Solve for x
    x = 3,009,360,535.74/66,909
  6. Step 6: Final answer
    x = 44,976.92

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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.