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Finding the Fourth Proportional to 61,022.56, 84,210.28 and 34,165.12

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Solution

The fourth proportional to 61,022.56, 84,210.28 and 34,165.12 is: 47,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,022.56 : 84,210.28 = 34,165.12 : x
  2. Step 2: Convert to fraction form
    61,022.56/84,210.28 = 34,165.12/x
  3. Step 3: Cross multiply
    61,022.56x = 84,210.28 × 34,165.12
  4. Step 4: Simplify right side
    61,022.56x = 2,877,054,321.43
  5. Step 5: Solve for x
    x = 2,877,054,321.43/61,022.56
  6. Step 6: Final answer
    x = 47,147.39

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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.