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Finding the Fourth Proportional to 54,885.93, 75,741.60 and 31,012.10

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Solution

The fourth proportional to 54,885.93, 75,741.60 and 31,012.10 is: 42,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,885.93 : 75,741.60 = 31,012.10 : x
  2. Step 2: Convert to fraction form
    54,885.93/75,741.60 = 31,012.10/x
  3. Step 3: Cross multiply
    54,885.93x = 75,741.60 × 31,012.10
  4. Step 4: Simplify right side
    54,885.93x = 2,348,905,694.65
  5. Step 5: Solve for x
    x = 2,348,905,694.65/54,885.93
  6. Step 6: Final answer
    x = 42,796.13

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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.