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Finding the Fourth Proportional to 98,233.50, 147,350.25 and 35,904

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Solution

The fourth proportional to 98,233.50, 147,350.25 and 35,904 is: 53,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233.50 : 147,350.25 = 35,904 : x
  2. Step 2: Convert to fraction form
    98,233.50/147,350.25 = 35,904/x
  3. Step 3: Cross multiply
    98,233.50x = 147,350.25 × 35,904
  4. Step 4: Simplify right side
    98,233.50x = 5,290,463,376
  5. Step 5: Solve for x
    x = 5,290,463,376/98,233.50
  6. Step 6: Final answer
    x = 53,856

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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.