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Finding the Fourth Proportional to 46,803.66, 70,191.63 and 13,524.03

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Solution

The fourth proportional to 46,803.66, 70,191.63 and 13,524.03 is: 20,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803.66 : 70,191.63 = 13,524.03 : x
  2. Step 2: Convert to fraction form
    46,803.66/70,191.63 = 13,524.03/x
  3. Step 3: Cross multiply
    46,803.66x = 70,191.63 × 13,524.03
  4. Step 4: Simplify right side
    46,803.66x = 949,273,709.87
  5. Step 5: Solve for x
    x = 949,273,709.87/46,803.66
  6. Step 6: Final answer
    x = 20,282.04

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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.