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Finding the Fourth Proportional to 78,214.97, 117,316.34 and 22,052.81

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Solution

The fourth proportional to 78,214.97, 117,316.34 and 22,052.81 is: 33,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,214.97 : 117,316.34 = 22,052.81 : x
  2. Step 2: Convert to fraction form
    78,214.97/117,316.34 = 22,052.81/x
  3. Step 3: Cross multiply
    78,214.97x = 117,316.34 × 22,052.81
  4. Step 4: Simplify right side
    78,214.97x = 2,587,154,845.65
  5. Step 5: Solve for x
    x = 2,587,154,845.65/78,214.97
  6. Step 6: Final answer
    x = 33,077.49

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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.