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Finding the Fourth Proportional to 38,756.64, 53,467.92 and 23,844

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Solution

The fourth proportional to 38,756.64, 53,467.92 and 23,844 is: 32,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,756.64 : 53,467.92 = 23,844 : x
  2. Step 2: Convert to fraction form
    38,756.64/53,467.92 = 23,844/x
  3. Step 3: Cross multiply
    38,756.64x = 53,467.92 × 23,844
  4. Step 4: Simplify right side
    38,756.64x = 1,274,889,084.48
  5. Step 5: Solve for x
    x = 1,274,889,084.48/38,756.64
  6. Step 6: Final answer
    x = 32,894.73

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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.