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Finding the Fourth Proportional to 85,099.32, 117,454.86 and 51,109.38

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Solution

The fourth proportional to 85,099.32, 117,454.86 and 51,109.38 is: 70,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,099.32 : 117,454.86 = 51,109.38 : x
  2. Step 2: Convert to fraction form
    85,099.32/117,454.86 = 51,109.38/x
  3. Step 3: Cross multiply
    85,099.32x = 117,454.86 × 51,109.38
  4. Step 4: Simplify right side
    85,099.32x = 6,003,045,072.59
  5. Step 5: Solve for x
    x = 6,003,045,072.59/85,099.32
  6. Step 6: Final answer
    x = 70,541.63

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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.