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Finding the Fourth Proportional to 53,103.74, 73,284.64 and 29,231.90

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Solution

The fourth proportional to 53,103.74, 73,284.64 and 29,231.90 is: 40,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103.74 : 73,284.64 = 29,231.90 : x
  2. Step 2: Convert to fraction form
    53,103.74/73,284.64 = 29,231.90/x
  3. Step 3: Cross multiply
    53,103.74x = 73,284.64 × 29,231.90
  4. Step 4: Simplify right side
    53,103.74x = 2,142,249,268.02
  5. Step 5: Solve for x
    x = 2,142,249,268.02/53,103.74
  6. Step 6: Final answer
    x = 40,340.84

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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.