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Finding the Fourth Proportional to 103,462.98, 155,246.42 and 47,298.09

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Solution

The fourth proportional to 103,462.98, 155,246.42 and 47,298.09 is: 70,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,462.98 : 155,246.42 = 47,298.09 : x
  2. Step 2: Convert to fraction form
    103,462.98/155,246.42 = 47,298.09/x
  3. Step 3: Cross multiply
    103,462.98x = 155,246.42 × 47,298.09
  4. Step 4: Simplify right side
    103,462.98x = 7,342,858,891.50
  5. Step 5: Solve for x
    x = 7,342,858,891.50/103,462.98
  6. Step 6: Final answer
    x = 70,970.88

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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.