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Finding the Fourth Proportional to 33,960, 46,869.12 and 19,056

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Solution

The fourth proportional to 33,960, 46,869.12 and 19,056 is: 26,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960 : 46,869.12 = 19,056 : x
  2. Step 2: Convert to fraction form
    33,960/46,869.12 = 19,056/x
  3. Step 3: Cross multiply
    33,960x = 46,869.12 × 19,056
  4. Step 4: Simplify right side
    33,960x = 893,137,950.72
  5. Step 5: Solve for x
    x = 893,137,950.72/33,960
  6. Step 6: Final answer
    x = 26,299.70

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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.