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Finding the Fourth Proportional to 61,147.14, 84,347.30 and 38,450.20

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Solution

The fourth proportional to 61,147.14, 84,347.30 and 38,450.20 is: 53,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,147.14 : 84,347.30 = 38,450.20 : x
  2. Step 2: Convert to fraction form
    61,147.14/84,347.30 = 38,450.20/x
  3. Step 3: Cross multiply
    61,147.14x = 84,347.30 × 38,450.20
  4. Step 4: Simplify right side
    61,147.14x = 3,243,170,554.46
  5. Step 5: Solve for x
    x = 3,243,170,554.46/61,147.14
  6. Step 6: Final answer
    x = 53,038.79

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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.