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Finding the Fourth Proportional to 34,708.65, 47,894.54 and 20,558.76

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Solution

The fourth proportional to 34,708.65, 47,894.54 and 20,558.76 is: 28,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.65 : 47,894.54 = 20,558.76 : x
  2. Step 2: Convert to fraction form
    34,708.65/47,894.54 = 20,558.76/x
  3. Step 3: Cross multiply
    34,708.65x = 47,894.54 × 20,558.76
  4. Step 4: Simplify right side
    34,708.65x = 984,652,250.38
  5. Step 5: Solve for x
    x = 984,652,250.38/34,708.65
  6. Step 6: Final answer
    x = 28,369.07

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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.