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Finding the Fourth Proportional to 53,647.68, 74,023.02 and 32,428.14

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Solution

The fourth proportional to 53,647.68, 74,023.02 and 32,428.14 is: 44,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.68 : 74,023.02 = 32,428.14 : x
  2. Step 2: Convert to fraction form
    53,647.68/74,023.02 = 32,428.14/x
  3. Step 3: Cross multiply
    53,647.68x = 74,023.02 × 32,428.14
  4. Step 4: Simplify right side
    53,647.68x = 2,400,428,855.78
  5. Step 5: Solve for x
    x = 2,400,428,855.78/53,647.68
  6. Step 6: Final answer
    x = 44,744.32

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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.