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Finding the Fourth Proportional to 33,170.34, 49,762.80 and 15,640.32

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Solution

The fourth proportional to 33,170.34, 49,762.80 and 15,640.32 is: 23,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.34 : 49,762.80 = 15,640.32 : x
  2. Step 2: Convert to fraction form
    33,170.34/49,762.80 = 15,640.32/x
  3. Step 3: Cross multiply
    33,170.34x = 49,762.80 × 15,640.32
  4. Step 4: Simplify right side
    33,170.34x = 778,306,116.10
  5. Step 5: Solve for x
    x = 778,306,116.10/33,170.34
  6. Step 6: Final answer
    x = 23,463.92

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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.