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Finding the Fourth Proportional to 48,436.52, 66,795.84 and 31,434.50

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Solution

The fourth proportional to 48,436.52, 66,795.84 and 31,434.50 is: 43,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,436.52 : 66,795.84 = 31,434.50 : x
  2. Step 2: Convert to fraction form
    48,436.52/66,795.84 = 31,434.50/x
  3. Step 3: Cross multiply
    48,436.52x = 66,795.84 × 31,434.50
  4. Step 4: Simplify right side
    48,436.52x = 2,099,693,832.48
  5. Step 5: Solve for x
    x = 2,099,693,832.48/48,436.52
  6. Step 6: Final answer
    x = 43,349.39

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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.