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Finding the Fourth Proportional to 46,906.92, 70,349.01 and 13,617.96

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Solution

The fourth proportional to 46,906.92, 70,349.01 and 13,617.96 is: 20,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906.92 : 70,349.01 = 13,617.96 : x
  2. Step 2: Convert to fraction form
    46,906.92/70,349.01 = 13,617.96/x
  3. Step 3: Cross multiply
    46,906.92x = 70,349.01 × 13,617.96
  4. Step 4: Simplify right side
    46,906.92x = 958,010,004.22
  5. Step 5: Solve for x
    x = 958,010,004.22/46,906.92
  6. Step 6: Final answer
    x = 20,423.64

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1.5x scale

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.