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Finding the Fourth Proportional to 31,332, 46,997.52 and 12,616.80

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Solution

The fourth proportional to 31,332, 46,997.52 and 12,616.80 is: 18,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332 : 46,997.52 = 12,616.80 : x
  2. Step 2: Convert to fraction form
    31,332/46,997.52 = 12,616.80/x
  3. Step 3: Cross multiply
    31,332x = 46,997.52 × 12,616.80
  4. Step 4: Simplify right side
    31,332x = 592,958,310.34
  5. Step 5: Solve for x
    x = 592,958,310.34/31,332
  6. Step 6: Final answer
    x = 18,925.01

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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.