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Finding the Fourth Proportional to 53,074.95, 73,242.88 and 29,201.64

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Solution

The fourth proportional to 53,074.95, 73,242.88 and 29,201.64 is: 40,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,074.95 : 73,242.88 = 29,201.64 : x
  2. Step 2: Convert to fraction form
    53,074.95/73,242.88 = 29,201.64/x
  3. Step 3: Cross multiply
    53,074.95x = 73,242.88 × 29,201.64
  4. Step 4: Simplify right side
    53,074.95x = 2,138,812,214.32
  5. Step 5: Solve for x
    x = 2,138,812,214.32/53,074.95
  6. Step 6: Final answer
    x = 40,297.96

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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.