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Finding the Fourth Proportional to 70,952.67, 106,357.14 and 46,008.54

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Solution

The fourth proportional to 70,952.67, 106,357.14 and 46,008.54 is: 68,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.67 : 106,357.14 = 46,008.54 : x
  2. Step 2: Convert to fraction form
    70,952.67/106,357.14 = 46,008.54/x
  3. Step 3: Cross multiply
    70,952.67x = 106,357.14 × 46,008.54
  4. Step 4: Simplify right side
    70,952.67x = 4,893,336,729.98
  5. Step 5: Solve for x
    x = 4,893,336,729.98/70,952.67
  6. Step 6: Final answer
    x = 68,966.21

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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.