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Finding the Fourth Proportional to 102,387.91, 153,571.48 and 27,498.32

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Solution

The fourth proportional to 102,387.91, 153,571.48 and 27,498.32 is: 41,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,387.91 : 153,571.48 = 27,498.32 : x
  2. Step 2: Convert to fraction form
    102,387.91/153,571.48 = 27,498.32/x
  3. Step 3: Cross multiply
    102,387.91x = 153,571.48 × 27,498.32
  4. Step 4: Simplify right side
    102,387.91x = 4,222,957,699.91
  5. Step 5: Solve for x
    x = 4,222,957,699.91/102,387.91
  6. Step 6: Final answer
    x = 41,244.69

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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.