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Finding the Fourth Proportional to 31,698.72, 47,556 and 9,512.51

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Solution

The fourth proportional to 31,698.72, 47,556 and 9,512.51 is: 14,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.72 : 47,556 = 9,512.51 : x
  2. Step 2: Convert to fraction form
    31,698.72/47,556 = 9,512.51/x
  3. Step 3: Cross multiply
    31,698.72x = 47,556 × 9,512.51
  4. Step 4: Simplify right side
    31,698.72x = 452,376,687.78
  5. Step 5: Solve for x
    x = 452,376,687.78/31,698.72
  6. Step 6: Final answer
    x = 14,271.13

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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.