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Finding the Fourth Proportional to 96,694.20, 145,065.82 and 46,798.20

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Solution

The fourth proportional to 96,694.20, 145,065.82 and 46,798.20 is: 70,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,694.20 : 145,065.82 = 46,798.20 : x
  2. Step 2: Convert to fraction form
    96,694.20/145,065.82 = 46,798.20/x
  3. Step 3: Cross multiply
    96,694.20x = 145,065.82 × 46,798.20
  4. Step 4: Simplify right side
    96,694.20x = 6,788,819,257.52
  5. Step 5: Solve for x
    x = 6,788,819,257.52/96,694.20
  6. Step 6: Final answer
    x = 70,209.17

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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.