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Finding the Fourth Proportional to 78,036.50, 117,072.12 and 30,656.18

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Solution

The fourth proportional to 78,036.50, 117,072.12 and 30,656.18 is: 45,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.50 : 117,072.12 = 30,656.18 : x
  2. Step 2: Convert to fraction form
    78,036.50/117,072.12 = 30,656.18/x
  3. Step 3: Cross multiply
    78,036.50x = 117,072.12 × 30,656.18
  4. Step 4: Simplify right side
    78,036.50x = 3,588,983,983.70
  5. Step 5: Solve for x
    x = 3,588,983,983.70/78,036.50
  6. Step 6: Final answer
    x = 45,991.09

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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.