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Finding the Fourth Proportional to 102,560.93, 153,859.46 and 35,077.10

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Solution

The fourth proportional to 102,560.93, 153,859.46 and 35,077.10 is: 52,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,560.93 : 153,859.46 = 35,077.10 : x
  2. Step 2: Convert to fraction form
    102,560.93/153,859.46 = 35,077.10/x
  3. Step 3: Cross multiply
    102,560.93x = 153,859.46 × 35,077.10
  4. Step 4: Simplify right side
    102,560.93x = 5,396,943,873.63
  5. Step 5: Solve for x
    x = 5,396,943,873.63/102,560.93
  6. Step 6: Final answer
    x = 52,621.83

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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.