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Finding the Fourth Proportional to 46,708.25, 70,064.80 and 11,648.21

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Solution

The fourth proportional to 46,708.25, 70,064.80 and 11,648.21 is: 17,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708.25 : 70,064.80 = 11,648.21 : x
  2. Step 2: Convert to fraction form
    46,708.25/70,064.80 = 11,648.21/x
  3. Step 3: Cross multiply
    46,708.25x = 70,064.80 × 11,648.21
  4. Step 4: Simplify right side
    46,708.25x = 816,129,124.56
  5. Step 5: Solve for x
    x = 816,129,124.56/46,708.25
  6. Step 6: Final answer
    x = 17,472.91

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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.