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Finding the Fourth Proportional to 53,728.64, 74,141.18 and 31,069.10

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Solution

The fourth proportional to 53,728.64, 74,141.18 and 31,069.10 is: 42,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728.64 : 74,141.18 = 31,069.10 : x
  2. Step 2: Convert to fraction form
    53,728.64/74,141.18 = 31,069.10/x
  3. Step 3: Cross multiply
    53,728.64x = 74,141.18 × 31,069.10
  4. Step 4: Simplify right side
    53,728.64x = 2,303,499,735.54
  5. Step 5: Solve for x
    x = 2,303,499,735.54/53,728.64
  6. Step 6: Final answer
    x = 42,872.85

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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.