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Finding the Fourth Proportional to 34,749.16, 47,953.72 and 18,834

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Solution

The fourth proportional to 34,749.16, 47,953.72 and 18,834 is: 25,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749.16 : 47,953.72 = 18,834 : x
  2. Step 2: Convert to fraction form
    34,749.16/47,953.72 = 18,834/x
  3. Step 3: Cross multiply
    34,749.16x = 47,953.72 × 18,834
  4. Step 4: Simplify right side
    34,749.16x = 903,160,362.48
  5. Step 5: Solve for x
    x = 903,160,362.48/34,749.16
  6. Step 6: Final answer
    x = 25,990.85

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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.