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Finding the Fourth Proportional to 33,234, 45,863.04 and 20,658.72

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Solution

The fourth proportional to 33,234, 45,863.04 and 20,658.72 is: 28,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234 : 45,863.04 = 20,658.72 : x
  2. Step 2: Convert to fraction form
    33,234/45,863.04 = 20,658.72/x
  3. Step 3: Cross multiply
    33,234x = 45,863.04 × 20,658.72
  4. Step 4: Simplify right side
    33,234x = 947,471,701.71
  5. Step 5: Solve for x
    x = 947,471,701.71/33,234
  6. Step 6: Final answer
    x = 28,509.11

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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.