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Finding the Fourth Proportional to 33,077.96, 49,603.96 and 14,597

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Solution

The fourth proportional to 33,077.96, 49,603.96 and 14,597 is: 21,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.96 : 49,603.96 = 14,597 : x
  2. Step 2: Convert to fraction form
    33,077.96/49,603.96 = 14,597/x
  3. Step 3: Cross multiply
    33,077.96x = 49,603.96 × 14,597
  4. Step 4: Simplify right side
    33,077.96x = 724,069,004.12
  5. Step 5: Solve for x
    x = 724,069,004.12/33,077.96
  6. Step 6: Final answer
    x = 21,889.77

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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.