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Finding the Fourth Proportional to 61,892.25, 85,411.10 and 33,597.74

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Solution

The fourth proportional to 61,892.25, 85,411.10 and 33,597.74 is: 46,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,892.25 : 85,411.10 = 33,597.74 : x
  2. Step 2: Convert to fraction form
    61,892.25/85,411.10 = 33,597.74/x
  3. Step 3: Cross multiply
    61,892.25x = 85,411.10 × 33,597.74
  4. Step 4: Simplify right side
    61,892.25x = 2,869,619,335.87
  5. Step 5: Solve for x
    x = 2,869,619,335.87/61,892.25
  6. Step 6: Final answer
    x = 46,364.76

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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.