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Finding the Fourth Proportional to 98,061.96, 147,094.46 and 27,942.92

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Solution

The fourth proportional to 98,061.96, 147,094.46 and 27,942.92 is: 41,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,061.96 : 147,094.46 = 27,942.92 : x
  2. Step 2: Convert to fraction form
    98,061.96/147,094.46 = 27,942.92/x
  3. Step 3: Cross multiply
    98,061.96x = 147,094.46 × 27,942.92
  4. Step 4: Simplify right side
    98,061.96x = 4,110,248,728.22
  5. Step 5: Solve for x
    x = 4,110,248,728.22/98,061.96
  6. Step 6: Final answer
    x = 41,914.81

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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.