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Finding the Fourth Proportional to 32,893.70, 49,341 and 10,707.17

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Solution

The fourth proportional to 32,893.70, 49,341 and 10,707.17 is: 16,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.70 : 49,341 = 10,707.17 : x
  2. Step 2: Convert to fraction form
    32,893.70/49,341 = 10,707.17/x
  3. Step 3: Cross multiply
    32,893.70x = 49,341 × 10,707.17
  4. Step 4: Simplify right side
    32,893.70x = 528,302,474.97
  5. Step 5: Solve for x
    x = 528,302,474.97/32,893.70
  6. Step 6: Final answer
    x = 16,060.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.