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Finding the Fourth Proportional to 38,834, 53,588.72 and 22,914.80

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Solution

The fourth proportional to 38,834, 53,588.72 and 22,914.80 is: 31,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,834 : 53,588.72 = 22,914.80 : x
  2. Step 2: Convert to fraction form
    38,834/53,588.72 = 22,914.80/x
  3. Step 3: Cross multiply
    38,834x = 53,588.72 × 22,914.80
  4. Step 4: Simplify right side
    38,834x = 1,227,974,801.06
  5. Step 5: Solve for x
    x = 1,227,974,801.06/38,834
  6. Step 6: Final answer
    x = 31,621.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.