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Finding the Fourth Proportional to 33,417.32, 50,117.78 and 14,702.07

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Solution

The fourth proportional to 33,417.32, 50,117.78 and 14,702.07 is: 22,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,417.32 : 50,117.78 = 14,702.07 : x
  2. Step 2: Convert to fraction form
    33,417.32/50,117.78 = 14,702.07/x
  3. Step 3: Cross multiply
    33,417.32x = 50,117.78 × 14,702.07
  4. Step 4: Simplify right side
    33,417.32x = 736,835,146.56
  5. Step 5: Solve for x
    x = 736,835,146.56/33,417.32
  6. Step 6: Final answer
    x = 22,049.50

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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.