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Finding the Fourth Proportional to 33,336.40, 49,998 and 9,646.72

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Solution

The fourth proportional to 33,336.40, 49,998 and 9,646.72 is: 14,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,336.40 : 49,998 = 9,646.72 : x
  2. Step 2: Convert to fraction form
    33,336.40/49,998 = 9,646.72/x
  3. Step 3: Cross multiply
    33,336.40x = 49,998 × 9,646.72
  4. Step 4: Simplify right side
    33,336.40x = 482,316,706.56
  5. Step 5: Solve for x
    x = 482,316,706.56/33,336.40
  6. Step 6: Final answer
    x = 14,468.17

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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.