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Finding the Fourth Proportional to 46,954.54, 70,434.38 and 11,894.50

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Solution

The fourth proportional to 46,954.54, 70,434.38 and 11,894.50 is: 17,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954.54 : 70,434.38 = 11,894.50 : x
  2. Step 2: Convert to fraction form
    46,954.54/70,434.38 = 11,894.50/x
  3. Step 3: Cross multiply
    46,954.54x = 70,434.38 × 11,894.50
  4. Step 4: Simplify right side
    46,954.54x = 837,781,732.91
  5. Step 5: Solve for x
    x = 837,781,732.91/46,954.54
  6. Step 6: Final answer
    x = 17,842.40

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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.