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Finding the Fourth Proportional to 46,896.52, 70,344.78 and 14,064.52

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Solution

The fourth proportional to 46,896.52, 70,344.78 and 14,064.52 is: 21,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896.52 : 70,344.78 = 14,064.52 : x
  2. Step 2: Convert to fraction form
    46,896.52/70,344.78 = 14,064.52/x
  3. Step 3: Cross multiply
    46,896.52x = 70,344.78 × 14,064.52
  4. Step 4: Simplify right side
    46,896.52x = 989,365,565.21
  5. Step 5: Solve for x
    x = 989,365,565.21/46,896.52
  6. Step 6: Final answer
    x = 21,096.78

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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.