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Finding the Fourth Proportional to 31,261.52, 46,817.20 and 17,894

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Solution

The fourth proportional to 31,261.52, 46,817.20 and 17,894 is: 26,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.52 : 46,817.20 = 17,894 : x
  2. Step 2: Convert to fraction form
    31,261.52/46,817.20 = 17,894/x
  3. Step 3: Cross multiply
    31,261.52x = 46,817.20 × 17,894
  4. Step 4: Simplify right side
    31,261.52x = 837,746,976.80
  5. Step 5: Solve for x
    x = 837,746,976.80/31,261.52
  6. Step 6: Final answer
    x = 26,798.02

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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.