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Finding the Fourth Proportional to 61,696, 85,140.48 and 35,200

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Solution

The fourth proportional to 61,696, 85,140.48 and 35,200 is: 48,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,696 : 85,140.48 = 35,200 : x
  2. Step 2: Convert to fraction form
    61,696/85,140.48 = 35,200/x
  3. Step 3: Cross multiply
    61,696x = 85,140.48 × 35,200
  4. Step 4: Simplify right side
    61,696x = 2,996,944,896
  5. Step 5: Solve for x
    x = 2,996,944,896/61,696
  6. Step 6: Final answer
    x = 48,576

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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.