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Finding the Fourth Proportional to 82,795.66, 114,270.31 and 48,793.27

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Solution

The fourth proportional to 82,795.66, 114,270.31 and 48,793.27 is: 67,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,795.66 : 114,270.31 = 48,793.27 : x
  2. Step 2: Convert to fraction form
    82,795.66/114,270.31 = 48,793.27/x
  3. Step 3: Cross multiply
    82,795.66x = 114,270.31 × 48,793.27
  4. Step 4: Simplify right side
    82,795.66x = 5,575,622,088.81
  5. Step 5: Solve for x
    x = 5,575,622,088.81/82,795.66
  6. Step 6: Final answer
    x = 67,341.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.