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Finding the Fourth Proportional to 53,422.36, 73,728.36 and 30,762.28

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Solution

The fourth proportional to 53,422.36, 73,728.36 and 30,762.28 is: 42,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.36 : 73,728.36 = 30,762.28 : x
  2. Step 2: Convert to fraction form
    53,422.36/73,728.36 = 30,762.28/x
  3. Step 3: Cross multiply
    53,422.36x = 73,728.36 × 30,762.28
  4. Step 4: Simplify right side
    53,422.36x = 2,268,052,454.26
  5. Step 5: Solve for x
    x = 2,268,052,454.26/53,422.36
  6. Step 6: Final answer
    x = 42,455.12

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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.