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Finding the Fourth Proportional to 61,855.53, 85,353.45 and 34,633.16

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Solution

The fourth proportional to 61,855.53, 85,353.45 and 34,633.16 is: 47,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,855.53 : 85,353.45 = 34,633.16 : x
  2. Step 2: Convert to fraction form
    61,855.53/85,353.45 = 34,633.16/x
  3. Step 3: Cross multiply
    61,855.53x = 85,353.45 × 34,633.16
  4. Step 4: Simplify right side
    61,855.53x = 2,956,059,263.63
  5. Step 5: Solve for x
    x = 2,956,059,263.63/61,855.53
  6. Step 6: Final answer
    x = 47,789.73

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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.