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Finding the Fourth Proportional to 98,010, 147,080.48 and 35,680.56

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Solution

The fourth proportional to 98,010, 147,080.48 and 35,680.56 is: 53,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,010 : 147,080.48 = 35,680.56 : x
  2. Step 2: Convert to fraction form
    98,010/147,080.48 = 35,680.56/x
  3. Step 3: Cross multiply
    98,010x = 147,080.48 × 35,680.56
  4. Step 4: Simplify right side
    98,010x = 5,247,913,891.47
  5. Step 5: Solve for x
    x = 5,247,913,891.47/98,010
  6. Step 6: Final answer
    x = 53,544.68

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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.