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Finding the Fourth Proportional to 101,988.69, 152,984.45 and 27,108.47

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Solution

The fourth proportional to 101,988.69, 152,984.45 and 27,108.47 is: 40,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,988.69 : 152,984.45 = 27,108.47 : x
  2. Step 2: Convert to fraction form
    101,988.69/152,984.45 = 27,108.47/x
  3. Step 3: Cross multiply
    101,988.69x = 152,984.45 × 27,108.47
  4. Step 4: Simplify right side
    101,988.69x = 4,147,174,671.04
  5. Step 5: Solve for x
    x = 4,147,174,671.04/101,988.69
  6. Step 6: Final answer
    x = 40,663.08

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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.