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Finding the Fourth Proportional to 78,231, 117,353.38 and 22,071.54

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Solution

The fourth proportional to 78,231, 117,353.38 and 22,071.54 is: 33,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231 : 117,353.38 = 22,071.54 : x
  2. Step 2: Convert to fraction form
    78,231/117,353.38 = 22,071.54/x
  3. Step 3: Cross multiply
    78,231x = 117,353.38 × 22,071.54
  4. Step 4: Simplify right side
    78,231x = 2,590,169,820.81
  5. Step 5: Solve for x
    x = 2,590,169,820.81/78,231
  6. Step 6: Final answer
    x = 33,109.25

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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.