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Finding the Fourth Proportional to 96,418, 144,629.56 and 30,754

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Solution

The fourth proportional to 96,418, 144,629.56 and 30,754 is: 46,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,418 : 144,629.56 = 30,754 : x
  2. Step 2: Convert to fraction form
    96,418/144,629.56 = 30,754/x
  3. Step 3: Cross multiply
    96,418x = 144,629.56 × 30,754
  4. Step 4: Simplify right side
    96,418x = 4,447,937,488.24
  5. Step 5: Solve for x
    x = 4,447,937,488.24/96,418
  6. Step 6: Final answer
    x = 46,131.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.