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Finding the Fourth Proportional to 53,660.37, 74,054.76 and 31,000.32

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Solution

The fourth proportional to 53,660.37, 74,054.76 and 31,000.32 is: 42,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,660.37 : 74,054.76 = 31,000.32 : x
  2. Step 2: Convert to fraction form
    53,660.37/74,054.76 = 31,000.32/x
  3. Step 3: Cross multiply
    53,660.37x = 74,054.76 × 31,000.32
  4. Step 4: Simplify right side
    53,660.37x = 2,295,721,141.27
  5. Step 5: Solve for x
    x = 2,295,721,141.27/53,660.37
  6. Step 6: Final answer
    x = 42,782.43

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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.