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Finding the Fourth Proportional to 53,325, 73,588.50 and 32,105.16

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Solution

The fourth proportional to 53,325, 73,588.50 and 32,105.16 is: 44,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,325 : 73,588.50 = 32,105.16 : x
  2. Step 2: Convert to fraction form
    53,325/73,588.50 = 32,105.16/x
  3. Step 3: Cross multiply
    53,325x = 73,588.50 × 32,105.16
  4. Step 4: Simplify right side
    53,325x = 2,362,570,566.66
  5. Step 5: Solve for x
    x = 2,362,570,566.66/53,325
  6. Step 6: Final answer
    x = 44,305.12

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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.