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Finding the Fourth Proportional to 31,250, 43,125 and 23,299.04

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Solution

The fourth proportional to 31,250, 43,125 and 23,299.04 is: 32,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250 : 43,125 = 23,299.04 : x
  2. Step 2: Convert to fraction form
    31,250/43,125 = 23,299.04/x
  3. Step 3: Cross multiply
    31,250x = 43,125 × 23,299.04
  4. Step 4: Simplify right side
    31,250x = 1,004,771,100
  5. Step 5: Solve for x
    x = 1,004,771,100/31,250
  6. Step 6: Final answer
    x = 32,152.68

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