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Finding the Fourth Proportional to 47,803.72, 71,707.10 and 14,524.08

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Solution

The fourth proportional to 47,803.72, 71,707.10 and 14,524.08 is: 21,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,803.72 : 71,707.10 = 14,524.08 : x
  2. Step 2: Convert to fraction form
    47,803.72/71,707.10 = 14,524.08/x
  3. Step 3: Cross multiply
    47,803.72x = 71,707.10 × 14,524.08
  4. Step 4: Simplify right side
    47,803.72x = 1,041,479,225.81
  5. Step 5: Solve for x
    x = 1,041,479,225.81/47,803.72
  6. Step 6: Final answer
    x = 21,786.57

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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.