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Finding the Fourth Proportional to 53,032.88, 73,186.92 and 30,374

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Solution

The fourth proportional to 53,032.88, 73,186.92 and 30,374 is: 41,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,032.88 : 73,186.92 = 30,374 : x
  2. Step 2: Convert to fraction form
    53,032.88/73,186.92 = 30,374/x
  3. Step 3: Cross multiply
    53,032.88x = 73,186.92 × 30,374
  4. Step 4: Simplify right side
    53,032.88x = 2,222,979,508.08
  5. Step 5: Solve for x
    x = 2,222,979,508.08/53,032.88
  6. Step 6: Final answer
    x = 41,917.01

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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.