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Finding the Fourth Proportional to 75,362.94, 103,979.57 and 48,520.98

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Solution

The fourth proportional to 75,362.94, 103,979.57 and 48,520.98 is: 66,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,362.94 : 103,979.57 = 48,520.98 : x
  2. Step 2: Convert to fraction form
    75,362.94/103,979.57 = 48,520.98/x
  3. Step 3: Cross multiply
    75,362.94x = 103,979.57 × 48,520.98
  4. Step 4: Simplify right side
    75,362.94x = 5,045,190,393.77
  5. Step 5: Solve for x
    x = 5,045,190,393.77/75,362.94
  6. Step 6: Final answer
    x = 66,945.24

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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.