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Finding the Fourth Proportional to 38,967.36, 53,768.12 and 23,046

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Solution

The fourth proportional to 38,967.36, 53,768.12 and 23,046 is: 31,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.36 : 53,768.12 = 23,046 : x
  2. Step 2: Convert to fraction form
    38,967.36/53,768.12 = 23,046/x
  3. Step 3: Cross multiply
    38,967.36x = 53,768.12 × 23,046
  4. Step 4: Simplify right side
    38,967.36x = 1,239,140,093.52
  5. Step 5: Solve for x
    x = 1,239,140,093.52/38,967.36
  6. Step 6: Final answer
    x = 31,799.44

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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.