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Finding the Fourth Proportional to 31,704.51, 47,549.88 and 9,511.94

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Solution

The fourth proportional to 31,704.51, 47,549.88 and 9,511.94 is: 14,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.51 : 47,549.88 = 9,511.94 : x
  2. Step 2: Convert to fraction form
    31,704.51/47,549.88 = 9,511.94/x
  3. Step 3: Cross multiply
    31,704.51x = 47,549.88 × 9,511.94
  4. Step 4: Simplify right side
    31,704.51x = 452,291,367.82
  5. Step 5: Solve for x
    x = 452,291,367.82/31,704.51
  6. Step 6: Final answer
    x = 14,265.84

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1.5x scale

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.