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Finding the Fourth Proportional to 54,963, 75,840.30 and 31,082.04

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Solution

The fourth proportional to 54,963, 75,840.30 and 31,082.04 is: 42,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963 : 75,840.30 = 31,082.04 : x
  2. Step 2: Convert to fraction form
    54,963/75,840.30 = 31,082.04/x
  3. Step 3: Cross multiply
    54,963x = 75,840.30 × 31,082.04
  4. Step 4: Simplify right side
    54,963x = 2,357,271,238.21
  5. Step 5: Solve for x
    x = 2,357,271,238.21/54,963
  6. Step 6: Final answer
    x = 42,888.33

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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.