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Finding the Fourth Proportional to 78,074.50, 117,115 and 22,670.50

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Solution

The fourth proportional to 78,074.50, 117,115 and 22,670.50 is: 34,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074.50 : 117,115 = 22,670.50 : x
  2. Step 2: Convert to fraction form
    78,074.50/117,115 = 22,670.50/x
  3. Step 3: Cross multiply
    78,074.50x = 117,115 × 22,670.50
  4. Step 4: Simplify right side
    78,074.50x = 2,655,055,607.50
  5. Step 5: Solve for x
    x = 2,655,055,607.50/78,074.50
  6. Step 6: Final answer
    x = 34,006.69

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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.