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Finding the Fourth Proportional to 52,663.23, 78,978.78 and 27,689.73

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Solution

The fourth proportional to 52,663.23, 78,978.78 and 27,689.73 is: 41,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,663.23 : 78,978.78 = 27,689.73 : x
  2. Step 2: Convert to fraction form
    52,663.23/78,978.78 = 27,689.73/x
  3. Step 3: Cross multiply
    52,663.23x = 78,978.78 × 27,689.73
  4. Step 4: Simplify right side
    52,663.23x = 2,186,901,093.93
  5. Step 5: Solve for x
    x = 2,186,901,093.93/52,663.23
  6. Step 6: Final answer
    x = 41,526.15

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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.