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Finding the Fourth Proportional to 85,437.86, 117,905.02 and 49,629.38

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Solution

The fourth proportional to 85,437.86, 117,905.02 and 49,629.38 is: 68,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437.86 : 117,905.02 = 49,629.38 : x
  2. Step 2: Convert to fraction form
    85,437.86/117,905.02 = 49,629.38/x
  3. Step 3: Cross multiply
    85,437.86x = 117,905.02 × 49,629.38
  4. Step 4: Simplify right side
    85,437.86x = 5,851,552,327.89
  5. Step 5: Solve for x
    x = 5,851,552,327.89/85,437.86
  6. Step 6: Final answer
    x = 68,488.99

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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.