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Finding the Fourth Proportional to 98,028.50, 147,028.82 and 31,460.02

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Solution

The fourth proportional to 98,028.50, 147,028.82 and 31,460.02 is: 47,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,028.50 : 147,028.82 = 31,460.02 : x
  2. Step 2: Convert to fraction form
    98,028.50/147,028.82 = 31,460.02/x
  3. Step 3: Cross multiply
    98,028.50x = 147,028.82 × 31,460.02
  4. Step 4: Simplify right side
    98,028.50x = 4,625,529,092.90
  5. Step 5: Solve for x
    x = 4,625,529,092.90/98,028.50
  6. Step 6: Final answer
    x = 47,185.56

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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.