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Finding the Fourth Proportional to 38,464.16, 53,077.94 and 22,111.88

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Solution

The fourth proportional to 38,464.16, 53,077.94 and 22,111.88 is: 30,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.16 : 53,077.94 = 22,111.88 : x
  2. Step 2: Convert to fraction form
    38,464.16/53,077.94 = 22,111.88/x
  3. Step 3: Cross multiply
    38,464.16x = 53,077.94 × 22,111.88
  4. Step 4: Simplify right side
    38,464.16x = 1,173,653,039.93
  5. Step 5: Solve for x
    x = 1,173,653,039.93/38,464.16
  6. Step 6: Final answer
    x = 30,512.90

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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.