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Finding the Fourth Proportional to 58,900.32, 81,251.46 and 35,010

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Solution

The fourth proportional to 58,900.32, 81,251.46 and 35,010 is: 48,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,900.32 : 81,251.46 = 35,010 : x
  2. Step 2: Convert to fraction form
    58,900.32/81,251.46 = 35,010/x
  3. Step 3: Cross multiply
    58,900.32x = 81,251.46 × 35,010
  4. Step 4: Simplify right side
    58,900.32x = 2,844,613,614.60
  5. Step 5: Solve for x
    x = 2,844,613,614.60/58,900.32
  6. Step 6: Final answer
    x = 48,295.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.