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Finding the Fourth Proportional to 53,530.68, 73,840.62 and 32,297.40

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Solution

The fourth proportional to 53,530.68, 73,840.62 and 32,297.40 is: 44,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,530.68 : 73,840.62 = 32,297.40 : x
  2. Step 2: Convert to fraction form
    53,530.68/73,840.62 = 32,297.40/x
  3. Step 3: Cross multiply
    53,530.68x = 73,840.62 × 32,297.40
  4. Step 4: Simplify right side
    53,530.68x = 2,384,860,040.39
  5. Step 5: Solve for x
    x = 2,384,860,040.39/53,530.68
  6. Step 6: Final answer
    x = 44,551.27

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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.