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Finding the Fourth Proportional to 33,165.69, 49,717.28 and 16,509.98

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Solution

The fourth proportional to 33,165.69, 49,717.28 and 16,509.98 is: 24,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.69 : 49,717.28 = 16,509.98 : x
  2. Step 2: Convert to fraction form
    33,165.69/49,717.28 = 16,509.98/x
  3. Step 3: Cross multiply
    33,165.69x = 49,717.28 × 16,509.98
  4. Step 4: Simplify right side
    33,165.69x = 820,830,967.32
  5. Step 5: Solve for x
    x = 820,830,967.32/33,165.69
  6. Step 6: Final answer
    x = 24,749.40

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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.