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Finding the Fourth Proportional to 57,784.78, 86,677.20 and 20,848.78

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Solution

The fourth proportional to 57,784.78, 86,677.20 and 20,848.78 is: 31,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.78 : 86,677.20 = 20,848.78 : x
  2. Step 2: Convert to fraction form
    57,784.78/86,677.20 = 20,848.78/x
  3. Step 3: Cross multiply
    57,784.78x = 86,677.20 × 20,848.78
  4. Step 4: Simplify right side
    57,784.78x = 1,807,113,873.82
  5. Step 5: Solve for x
    x = 1,807,113,873.82/57,784.78
  6. Step 6: Final answer
    x = 31,273.18

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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.