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Finding the Fourth Proportional to 61,953.10, 85,495.37 and 33,658.78

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Solution

The fourth proportional to 61,953.10, 85,495.37 and 33,658.78 is: 46,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,953.10 : 85,495.37 = 33,658.78 : x
  2. Step 2: Convert to fraction form
    61,953.10/85,495.37 = 33,658.78/x
  3. Step 3: Cross multiply
    61,953.10x = 85,495.37 × 33,658.78
  4. Step 4: Simplify right side
    61,953.10x = 2,877,669,849.85
  5. Step 5: Solve for x
    x = 2,877,669,849.85/61,953.10
  6. Step 6: Final answer
    x = 46,449.17

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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.