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Finding the Fourth Proportional to 61,083.38, 84,294.01 and 34,225.80

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Solution

The fourth proportional to 61,083.38, 84,294.01 and 34,225.80 is: 47,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,083.38 : 84,294.01 = 34,225.80 : x
  2. Step 2: Convert to fraction form
    61,083.38/84,294.01 = 34,225.80/x
  3. Step 3: Cross multiply
    61,083.38x = 84,294.01 × 34,225.80
  4. Step 4: Simplify right side
    61,083.38x = 2,885,029,927.46
  5. Step 5: Solve for x
    x = 2,885,029,927.46/61,083.38
  6. Step 6: Final answer
    x = 47,231.01

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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.