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Finding the Fourth Proportional to 53,045.64, 73,207.98 and 30,380.13

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Solution

The fourth proportional to 53,045.64, 73,207.98 and 30,380.13 is: 41,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,045.64 : 73,207.98 = 30,380.13 : x
  2. Step 2: Convert to fraction form
    53,045.64/73,207.98 = 30,380.13/x
  3. Step 3: Cross multiply
    53,045.64x = 73,207.98 × 30,380.13
  4. Step 4: Simplify right side
    53,045.64x = 2,224,067,949.44
  5. Step 5: Solve for x
    x = 2,224,067,949.44/53,045.64
  6. Step 6: Final answer
    x = 41,927.44

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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.