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Finding the Fourth Proportional to 82,229.72, 123,334.34 and 23,070

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Solution

The fourth proportional to 82,229.72, 123,334.34 and 23,070 is: 34,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,229.72 : 123,334.34 = 23,070 : x
  2. Step 2: Convert to fraction form
    82,229.72/123,334.34 = 23,070/x
  3. Step 3: Cross multiply
    82,229.72x = 123,334.34 × 23,070
  4. Step 4: Simplify right side
    82,229.72x = 2,845,323,108.45
  5. Step 5: Solve for x
    x = 2,845,323,108.45/82,229.72
  6. Step 6: Final answer
    x = 34,602.13

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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.