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Finding the Fourth Proportional to 62,106, 85,705.92 and 35,253.60

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Solution

The fourth proportional to 62,106, 85,705.92 and 35,253.60 is: 48,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,106 : 85,705.92 = 35,253.60 : x
  2. Step 2: Convert to fraction form
    62,106/85,705.92 = 35,253.60/x
  3. Step 3: Cross multiply
    62,106x = 85,705.92 × 35,253.60
  4. Step 4: Simplify right side
    62,106x = 3,021,442,221.31
  5. Step 5: Solve for x
    x = 3,021,442,221.31/62,106
  6. Step 6: Final answer
    x = 48,649.76

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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.