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Finding the Fourth Proportional to 30,133.52, 41,586.74 and 16,708.98

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Solution

The fourth proportional to 30,133.52, 41,586.74 and 16,708.98 is: 23,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.52 : 41,586.74 = 16,708.98 : x
  2. Step 2: Convert to fraction form
    30,133.52/41,586.74 = 16,708.98/x
  3. Step 3: Cross multiply
    30,133.52x = 41,586.74 × 16,708.98
  4. Step 4: Simplify right side
    30,133.52x = 694,871,923.38
  5. Step 5: Solve for x
    x = 694,871,923.38/30,133.52
  6. Step 6: Final answer
    x = 23,059.77

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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.