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Finding the Fourth Proportional to 61,835.84, 92,768.32 and 49,233.26

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Solution

The fourth proportional to 61,835.84, 92,768.32 and 49,233.26 is: 73,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,835.84 : 92,768.32 = 49,233.26 : x
  2. Step 2: Convert to fraction form
    61,835.84/92,768.32 = 49,233.26/x
  3. Step 3: Cross multiply
    61,835.84x = 92,768.32 × 49,233.26
  4. Step 4: Simplify right side
    61,835.84x = 4,567,286,818.32
  5. Step 5: Solve for x
    x = 4,567,286,818.32/61,835.84
  6. Step 6: Final answer
    x = 73,861.48

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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.