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Finding the Fourth Proportional to 61,546.77, 84,928.10 and 34,693.38

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Solution

The fourth proportional to 61,546.77, 84,928.10 and 34,693.38 is: 47,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,546.77 : 84,928.10 = 34,693.38 : x
  2. Step 2: Convert to fraction form
    61,546.77/84,928.10 = 34,693.38/x
  3. Step 3: Cross multiply
    61,546.77x = 84,928.10 × 34,693.38
  4. Step 4: Simplify right side
    61,546.77x = 2,946,442,672.51
  5. Step 5: Solve for x
    x = 2,946,442,672.51/61,546.77
  6. Step 6: Final answer
    x = 47,873.23

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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.