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Finding the Fourth Proportional to 53,107.20, 73,292.64 and 30,454.20

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Solution

The fourth proportional to 53,107.20, 73,292.64 and 30,454.20 is: 42,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,107.20 : 73,292.64 = 30,454.20 : x
  2. Step 2: Convert to fraction form
    53,107.20/73,292.64 = 30,454.20/x
  3. Step 3: Cross multiply
    53,107.20x = 73,292.64 × 30,454.20
  4. Step 4: Simplify right side
    53,107.20x = 2,232,068,717.09
  5. Step 5: Solve for x
    x = 2,232,068,717.09/53,107.20
  6. Step 6: Final answer
    x = 42,029.49

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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.