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Finding the Fourth Proportional to 98,234.64, 147,362.84 and 35,069.52

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Solution

The fourth proportional to 98,234.64, 147,362.84 and 35,069.52 is: 52,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,234.64 : 147,362.84 = 35,069.52 : x
  2. Step 2: Convert to fraction form
    98,234.64/147,362.84 = 35,069.52/x
  3. Step 3: Cross multiply
    98,234.64x = 147,362.84 × 35,069.52
  4. Step 4: Simplify right side
    98,234.64x = 5,167,944,064.64
  5. Step 5: Solve for x
    x = 5,167,944,064.64/98,234.64
  6. Step 6: Final answer
    x = 52,608.16

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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.