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Finding the Fourth Proportional to 46,776.48, 70,162.20 and 23,101.44

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Solution

The fourth proportional to 46,776.48, 70,162.20 and 23,101.44 is: 34,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776.48 : 70,162.20 = 23,101.44 : x
  2. Step 2: Convert to fraction form
    46,776.48/70,162.20 = 23,101.44/x
  3. Step 3: Cross multiply
    46,776.48x = 70,162.20 × 23,101.44
  4. Step 4: Simplify right side
    46,776.48x = 1,620,847,853.57
  5. Step 5: Solve for x
    x = 1,620,847,853.57/46,776.48
  6. Step 6: Final answer
    x = 34,650.92

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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.