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Finding the Fourth Proportional to 64,906, 89,570.29 and 35,098

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Solution

The fourth proportional to 64,906, 89,570.29 and 35,098 is: 48,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,906 : 89,570.29 = 35,098 : x
  2. Step 2: Convert to fraction form
    64,906/89,570.29 = 35,098/x
  3. Step 3: Cross multiply
    64,906x = 89,570.29 × 35,098
  4. Step 4: Simplify right side
    64,906x = 3,143,737,862.93
  5. Step 5: Solve for x
    x = 3,143,737,862.93/64,906
  6. Step 6: Final answer
    x = 48,435.24

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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.