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Finding the Fourth Proportional to 30,661.72, 45,992.88 and 16,803.16

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Solution

The fourth proportional to 30,661.72, 45,992.88 and 16,803.16 is: 25,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.72 : 45,992.88 = 16,803.16 : x
  2. Step 2: Convert to fraction form
    30,661.72/45,992.88 = 16,803.16/x
  3. Step 3: Cross multiply
    30,661.72x = 45,992.88 × 16,803.16
  4. Step 4: Simplify right side
    30,661.72x = 772,825,721.50
  5. Step 5: Solve for x
    x = 772,825,721.50/30,661.72
  6. Step 6: Final answer
    x = 25,204.90

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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.