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Finding the Fourth Proportional to 98,732.32, 147,912.48 and 48,753.90

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Solution

The fourth proportional to 98,732.32, 147,912.48 and 48,753.90 is: 73,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.32 : 147,912.48 = 48,753.90 : x
  2. Step 2: Convert to fraction form
    98,732.32/147,912.48 = 48,753.90/x
  3. Step 3: Cross multiply
    98,732.32x = 147,912.48 × 48,753.90
  4. Step 4: Simplify right side
    98,732.32x = 7,211,310,258.67
  5. Step 5: Solve for x
    x = 7,211,310,258.67/98,732.32
  6. Step 6: Final answer
    x = 73,039.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.