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Finding the Fourth Proportional to 61,410.94, 92,116.44 and 21,965.70

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Solution

The fourth proportional to 61,410.94, 92,116.44 and 21,965.70 is: 32,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410.94 : 92,116.44 = 21,965.70 : x
  2. Step 2: Convert to fraction form
    61,410.94/92,116.44 = 21,965.70/x
  3. Step 3: Cross multiply
    61,410.94x = 92,116.44 × 21,965.70
  4. Step 4: Simplify right side
    61,410.94x = 2,023,402,086.11
  5. Step 5: Solve for x
    x = 2,023,402,086.11/61,410.94
  6. Step 6: Final answer
    x = 32,948.56

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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.