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Finding the Fourth Proportional to 98,219.77, 147,329.53 and 31,669.77

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Solution

The fourth proportional to 98,219.77, 147,329.53 and 31,669.77 is: 47,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219.77 : 147,329.53 = 31,669.77 : x
  2. Step 2: Convert to fraction form
    98,219.77/147,329.53 = 31,669.77/x
  3. Step 3: Cross multiply
    98,219.77x = 147,329.53 × 31,669.77
  4. Step 4: Simplify right side
    98,219.77x = 4,665,892,329.31
  5. Step 5: Solve for x
    x = 4,665,892,329.31/98,219.77
  6. Step 6: Final answer
    x = 47,504.61

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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.