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Finding the Fourth Proportional to 35,773.92, 53,982.60 and 34,538.40

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Solution

The fourth proportional to 35,773.92, 53,982.60 and 34,538.40 is: 52,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,773.92 : 53,982.60 = 34,538.40 : x
  2. Step 2: Convert to fraction form
    35,773.92/53,982.60 = 34,538.40/x
  3. Step 3: Cross multiply
    35,773.92x = 53,982.60 × 34,538.40
  4. Step 4: Simplify right side
    35,773.92x = 1,864,472,631.84
  5. Step 5: Solve for x
    x = 1,864,472,631.84/35,773.92
  6. Step 6: Final answer
    x = 52,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.