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Finding the Fourth Proportional to 120,705.78, 181,038.06 and 31,968.30

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Solution

The fourth proportional to 120,705.78, 181,038.06 and 31,968.30 is: 47,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,705.78 : 181,038.06 = 31,968.30 : x
  2. Step 2: Convert to fraction form
    120,705.78/181,038.06 = 31,968.30/x
  3. Step 3: Cross multiply
    120,705.78x = 181,038.06 × 31,968.30
  4. Step 4: Simplify right side
    120,705.78x = 5,787,479,013.50
  5. Step 5: Solve for x
    x = 5,787,479,013.50/120,705.78
  6. Step 6: Final answer
    x = 47,946.99

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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.