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Finding the Fourth Proportional to 98,608.93, 147,921.59 and 32,047.58

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Solution

The fourth proportional to 98,608.93, 147,921.59 and 32,047.58 is: 48,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,608.93 : 147,921.59 = 32,047.58 : x
  2. Step 2: Convert to fraction form
    98,608.93/147,921.59 = 32,047.58/x
  3. Step 3: Cross multiply
    98,608.93x = 147,921.59 × 32,047.58
  4. Step 4: Simplify right side
    98,608.93x = 4,740,529,439.18
  5. Step 5: Solve for x
    x = 4,740,529,439.18/98,608.93
  6. Step 6: Final answer
    x = 48,074.04

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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.