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Finding the Fourth Proportional to 38,455.78, 53,070.24 and 22,321.84

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Solution

The fourth proportional to 38,455.78, 53,070.24 and 22,321.84 is: 30,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,455.78 : 53,070.24 = 22,321.84 : x
  2. Step 2: Convert to fraction form
    38,455.78/53,070.24 = 22,321.84/x
  3. Step 3: Cross multiply
    38,455.78x = 53,070.24 × 22,321.84
  4. Step 4: Simplify right side
    38,455.78x = 1,184,625,406.04
  5. Step 5: Solve for x
    x = 1,184,625,406.04/38,455.78
  6. Step 6: Final answer
    x = 30,804.87

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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.