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Finding the Fourth Proportional to 61,749.78, 85,214.78 and 33,455.46

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Solution

The fourth proportional to 61,749.78, 85,214.78 and 33,455.46 is: 46,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,749.78 : 85,214.78 = 33,455.46 : x
  2. Step 2: Convert to fraction form
    61,749.78/85,214.78 = 33,455.46/x
  3. Step 3: Cross multiply
    61,749.78x = 85,214.78 × 33,455.46
  4. Step 4: Simplify right side
    61,749.78x = 2,850,899,663.70
  5. Step 5: Solve for x
    x = 2,850,899,663.70/61,749.78
  6. Step 6: Final answer
    x = 46,168.58

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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.