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Finding the Fourth Proportional to 82,811.66, 114,264.34 and 52,601.90

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Solution

The fourth proportional to 82,811.66, 114,264.34 and 52,601.90 is: 72,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.66 : 114,264.34 = 52,601.90 : x
  2. Step 2: Convert to fraction form
    82,811.66/114,264.34 = 52,601.90/x
  3. Step 3: Cross multiply
    82,811.66x = 114,264.34 × 52,601.90
  4. Step 4: Simplify right side
    82,811.66x = 6,010,520,683.42
  5. Step 5: Solve for x
    x = 6,010,520,683.42/82,811.66
  6. Step 6: Final answer
    x = 72,580.61

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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.