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Finding the Fourth Proportional to 61,454.92, 84,814.14 and 37,597.46

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Solution

The fourth proportional to 61,454.92, 84,814.14 and 37,597.46 is: 51,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454.92 : 84,814.14 = 37,597.46 : x
  2. Step 2: Convert to fraction form
    61,454.92/84,814.14 = 37,597.46/x
  3. Step 3: Cross multiply
    61,454.92x = 84,814.14 × 37,597.46
  4. Step 4: Simplify right side
    61,454.92x = 3,188,796,236.08
  5. Step 5: Solve for x
    x = 3,188,796,236.08/61,454.92
  6. Step 6: Final answer
    x = 51,888.38

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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.