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Finding the Fourth Proportional to 54,927.63, 75,804.02 and 31,054.53

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Solution

The fourth proportional to 54,927.63, 75,804.02 and 31,054.53 is: 42,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,927.63 : 75,804.02 = 31,054.53 : x
  2. Step 2: Convert to fraction form
    54,927.63/75,804.02 = 31,054.53/x
  3. Step 3: Cross multiply
    54,927.63x = 75,804.02 × 31,054.53
  4. Step 4: Simplify right side
    54,927.63x = 2,354,058,057.94
  5. Step 5: Solve for x
    x = 2,354,058,057.94/54,927.63
  6. Step 6: Final answer
    x = 42,857.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.