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Finding the Fourth Proportional to 31,812.98, 47,703.16 and 16,828.19

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Solution

The fourth proportional to 31,812.98, 47,703.16 and 16,828.19 is: 25,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.98 : 47,703.16 = 16,828.19 : x
  2. Step 2: Convert to fraction form
    31,812.98/47,703.16 = 16,828.19/x
  3. Step 3: Cross multiply
    31,812.98x = 47,703.16 × 16,828.19
  4. Step 4: Simplify right side
    31,812.98x = 802,757,755.94
  5. Step 5: Solve for x
    x = 802,757,755.94/31,812.98
  6. Step 6: Final answer
    x = 25,233.65

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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.