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Finding the Fourth Proportional to 61,757.30, 85,225.16 and 33,462.96

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Solution

The fourth proportional to 61,757.30, 85,225.16 and 33,462.96 is: 46,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,757.30 : 85,225.16 = 33,462.96 : x
  2. Step 2: Convert to fraction form
    61,757.30/85,225.16 = 33,462.96/x
  3. Step 3: Cross multiply
    61,757.30x = 85,225.16 × 33,462.96
  4. Step 4: Simplify right side
    61,757.30x = 2,851,886,120.07
  5. Step 5: Solve for x
    x = 2,851,886,120.07/61,757.30
  6. Step 6: Final answer
    x = 46,178.93

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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.