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Finding the Fourth Proportional to 30,940.79, 46,403.74 and 14,284.82

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Solution

The fourth proportional to 30,940.79, 46,403.74 and 14,284.82 is: 21,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.79 : 46,403.74 = 14,284.82 : x
  2. Step 2: Convert to fraction form
    30,940.79/46,403.74 = 14,284.82/x
  3. Step 3: Cross multiply
    30,940.79x = 46,403.74 × 14,284.82
  4. Step 4: Simplify right side
    30,940.79x = 662,868,805.50
  5. Step 5: Solve for x
    x = 662,868,805.50/30,940.79
  6. Step 6: Final answer
    x = 21,423.79

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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.