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Finding the Fourth Proportional to 46,657.44, 69,965.07 and 13,369.86

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Solution

The fourth proportional to 46,657.44, 69,965.07 and 13,369.86 is: 20,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.44 : 69,965.07 = 13,369.86 : x
  2. Step 2: Convert to fraction form
    46,657.44/69,965.07 = 13,369.86/x
  3. Step 3: Cross multiply
    46,657.44x = 69,965.07 × 13,369.86
  4. Step 4: Simplify right side
    46,657.44x = 935,423,190.79
  5. Step 5: Solve for x
    x = 935,423,190.79/46,657.44
  6. Step 6: Final answer
    x = 20,048.75

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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.