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Finding the Fourth Proportional to 46,210.92, 69,321.80 and 16,216

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Solution

The fourth proportional to 46,210.92, 69,321.80 and 16,216 is: 24,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210.92 : 69,321.80 = 16,216 : x
  2. Step 2: Convert to fraction form
    46,210.92/69,321.80 = 16,216/x
  3. Step 3: Cross multiply
    46,210.92x = 69,321.80 × 16,216
  4. Step 4: Simplify right side
    46,210.92x = 1,124,122,308.80
  5. Step 5: Solve for x
    x = 1,124,122,308.80/46,210.92
  6. Step 6: Final answer
    x = 24,325.90

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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.