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Finding the Fourth Proportional to 77,783.96, 116,700.15 and 27,864.48

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Solution

The fourth proportional to 77,783.96, 116,700.15 and 27,864.48 is: 41,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,783.96 : 116,700.15 = 27,864.48 : x
  2. Step 2: Convert to fraction form
    77,783.96/116,700.15 = 27,864.48/x
  3. Step 3: Cross multiply
    77,783.96x = 116,700.15 × 27,864.48
  4. Step 4: Simplify right side
    77,783.96x = 3,251,788,995.67
  5. Step 5: Solve for x
    x = 3,251,788,995.67/77,783.96
  6. Step 6: Final answer
    x = 41,805.39

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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.