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Finding the Fourth Proportional to 45,794.15, 68,710.98 and 24,730

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Solution

The fourth proportional to 45,794.15, 68,710.98 and 24,730 is: 37,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,794.15 : 68,710.98 = 24,730 : x
  2. Step 2: Convert to fraction form
    45,794.15/68,710.98 = 24,730/x
  3. Step 3: Cross multiply
    45,794.15x = 68,710.98 × 24,730
  4. Step 4: Simplify right side
    45,794.15x = 1,699,222,535.40
  5. Step 5: Solve for x
    x = 1,699,222,535.40/45,794.15
  6. Step 6: Final answer
    x = 37,105.67

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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.