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Finding the Fourth Proportional to 61,972.34, 85,518.32 and 33,677.82

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Solution

The fourth proportional to 61,972.34, 85,518.32 and 33,677.82 is: 46,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,972.34 : 85,518.32 = 33,677.82 : x
  2. Step 2: Convert to fraction form
    61,972.34/85,518.32 = 33,677.82/x
  3. Step 3: Cross multiply
    61,972.34x = 85,518.32 × 33,677.82
  4. Step 4: Simplify right side
    61,972.34x = 2,880,070,419.27
  5. Step 5: Solve for x
    x = 2,880,070,419.27/61,972.34
  6. Step 6: Final answer
    x = 46,473.49

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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.