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Finding the Fourth Proportional to 61,471.32, 84,829.60 and 34,616.48

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Solution

The fourth proportional to 61,471.32, 84,829.60 and 34,616.48 is: 47,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471.32 : 84,829.60 = 34,616.48 : x
  2. Step 2: Convert to fraction form
    61,471.32/84,829.60 = 34,616.48/x
  3. Step 3: Cross multiply
    61,471.32x = 84,829.60 × 34,616.48
  4. Step 4: Simplify right side
    61,471.32x = 2,936,502,151.81
  5. Step 5: Solve for x
    x = 2,936,502,151.81/61,471.32
  6. Step 6: Final answer
    x = 47,770.28

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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.