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Finding the Fourth Proportional to 96,643.30, 144,964.95 and 41,347.30

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Solution

The fourth proportional to 96,643.30, 144,964.95 and 41,347.30 is: 62,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.30 : 144,964.95 = 41,347.30 : x
  2. Step 2: Convert to fraction form
    96,643.30/144,964.95 = 41,347.30/x
  3. Step 3: Cross multiply
    96,643.30x = 144,964.95 × 41,347.30
  4. Step 4: Simplify right side
    96,643.30x = 5,993,909,277.14
  5. Step 5: Solve for x
    x = 5,993,909,277.14/96,643.30
  6. Step 6: Final answer
    x = 62,020.95

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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.