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Finding the Fourth Proportional to 48,965, 73,470.54 and 25,602.44

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Solution

The fourth proportional to 48,965, 73,470.54 and 25,602.44 is: 38,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,965 : 73,470.54 = 25,602.44 : x
  2. Step 2: Convert to fraction form
    48,965/73,470.54 = 25,602.44/x
  3. Step 3: Cross multiply
    48,965x = 73,470.54 × 25,602.44
  4. Step 4: Simplify right side
    48,965x = 1,881,025,092.12
  5. Step 5: Solve for x
    x = 1,881,025,092.12/48,965
  6. Step 6: Final answer
    x = 38,415.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.