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Finding the Fourth Proportional to 98,086.68, 147,000.42 and 35,697.24

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Solution

The fourth proportional to 98,086.68, 147,000.42 and 35,697.24 is: 53,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,086.68 : 147,000.42 = 35,697.24 : x
  2. Step 2: Convert to fraction form
    98,086.68/147,000.42 = 35,697.24/x
  3. Step 3: Cross multiply
    98,086.68x = 147,000.42 × 35,697.24
  4. Step 4: Simplify right side
    98,086.68x = 5,247,509,272.84
  5. Step 5: Solve for x
    x = 5,247,509,272.84/98,086.68
  6. Step 6: Final answer
    x = 53,498.69

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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.