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Finding the Fourth Proportional to 60,146.22, 83,000.16 and 33,289.86

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Solution

The fourth proportional to 60,146.22, 83,000.16 and 33,289.86 is: 45,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,146.22 : 83,000.16 = 33,289.86 : x
  2. Step 2: Convert to fraction form
    60,146.22/83,000.16 = 33,289.86/x
  3. Step 3: Cross multiply
    60,146.22x = 83,000.16 × 33,289.86
  4. Step 4: Simplify right side
    60,146.22x = 2,763,063,706.38
  5. Step 5: Solve for x
    x = 2,763,063,706.38/60,146.22
  6. Step 6: Final answer
    x = 45,939.11

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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.