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Finding the Fourth Proportional to 98,683.62, 147,914.46 and 48,657.84

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Solution

The fourth proportional to 98,683.62, 147,914.46 and 48,657.84 is: 72,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683.62 : 147,914.46 = 48,657.84 : x
  2. Step 2: Convert to fraction form
    98,683.62/147,914.46 = 48,657.84/x
  3. Step 3: Cross multiply
    98,683.62x = 147,914.46 × 48,657.84
  4. Step 4: Simplify right side
    98,683.62x = 7,197,198,128.37
  5. Step 5: Solve for x
    x = 7,197,198,128.37/98,683.62
  6. Step 6: Final answer
    x = 72,932.04

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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.