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Finding the Fourth Proportional to 85,429.38, 117,947.97 and 76,461.33

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Solution

The fourth proportional to 85,429.38, 117,947.97 and 76,461.33 is: 105,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,429.38 : 117,947.97 = 76,461.33 : x
  2. Step 2: Convert to fraction form
    85,429.38/117,947.97 = 76,461.33/x
  3. Step 3: Cross multiply
    85,429.38x = 117,947.97 × 76,461.33
  4. Step 4: Simplify right side
    85,429.38x = 9,018,458,657.00
  5. Step 5: Solve for x
    x = 9,018,458,657.00/85,429.38
  6. Step 6: Final answer
    x = 105,566.24

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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.