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Finding the Fourth Proportional to 53,665.16, 80,393.02 and 35,141

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Solution

The fourth proportional to 53,665.16, 80,393.02 and 35,141 is: 52,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,665.16 : 80,393.02 = 35,141 : x
  2. Step 2: Convert to fraction form
    53,665.16/80,393.02 = 35,141/x
  3. Step 3: Cross multiply
    53,665.16x = 80,393.02 × 35,141
  4. Step 4: Simplify right side
    53,665.16x = 2,825,091,115.82
  5. Step 5: Solve for x
    x = 2,825,091,115.82/53,665.16
  6. Step 6: Final answer
    x = 52,642.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.