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Finding the Fourth Proportional to 53,950.52, 74,452.04 and 31,303

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Solution

The fourth proportional to 53,950.52, 74,452.04 and 31,303 is: 43,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950.52 : 74,452.04 = 31,303 : x
  2. Step 2: Convert to fraction form
    53,950.52/74,452.04 = 31,303/x
  3. Step 3: Cross multiply
    53,950.52x = 74,452.04 × 31,303
  4. Step 4: Simplify right side
    53,950.52x = 2,330,572,208.12
  5. Step 5: Solve for x
    x = 2,330,572,208.12/53,950.52
  6. Step 6: Final answer
    x = 43,198.33

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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.