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Finding the Fourth Proportional to 30,232.09, 41,715.30 and 16,803.01

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Solution

The fourth proportional to 30,232.09, 41,715.30 and 16,803.01 is: 23,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.09 : 41,715.30 = 16,803.01 : x
  2. Step 2: Convert to fraction form
    30,232.09/41,715.30 = 16,803.01/x
  3. Step 3: Cross multiply
    30,232.09x = 41,715.30 × 16,803.01
  4. Step 4: Simplify right side
    30,232.09x = 700,942,603.05
  5. Step 5: Solve for x
    x = 700,942,603.05/30,232.09
  6. Step 6: Final answer
    x = 23,185.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.