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Finding the Fourth Proportional to 46,370, 69,568.44 and 13,538

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Solution

The fourth proportional to 46,370, 69,568.44 and 13,538 is: 20,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,370 : 69,568.44 = 13,538 : x
  2. Step 2: Convert to fraction form
    46,370/69,568.44 = 13,538/x
  3. Step 3: Cross multiply
    46,370x = 69,568.44 × 13,538
  4. Step 4: Simplify right side
    46,370x = 941,817,540.72
  5. Step 5: Solve for x
    x = 941,817,540.72/46,370
  6. Step 6: Final answer
    x = 20,310.92

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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.