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Finding the Fourth Proportional to 98,050.72, 147,022.32 and 45,431.20

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Solution

The fourth proportional to 98,050.72, 147,022.32 and 45,431.20 is: 68,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,050.72 : 147,022.32 = 45,431.20 : x
  2. Step 2: Convert to fraction form
    98,050.72/147,022.32 = 45,431.20/x
  3. Step 3: Cross multiply
    98,050.72x = 147,022.32 × 45,431.20
  4. Step 4: Simplify right side
    98,050.72x = 6,679,400,424.38
  5. Step 5: Solve for x
    x = 6,679,400,424.38/98,050.72
  6. Step 6: Final answer
    x = 68,121.89

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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.