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Finding the Fourth Proportional to 46,597.84, 69,891.90 and 13,315.75

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Solution

The fourth proportional to 46,597.84, 69,891.90 and 13,315.75 is: 19,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,597.84 : 69,891.90 = 13,315.75 : x
  2. Step 2: Convert to fraction form
    46,597.84/69,891.90 = 13,315.75/x
  3. Step 3: Cross multiply
    46,597.84x = 69,891.90 × 13,315.75
  4. Step 4: Simplify right side
    46,597.84x = 930,663,067.43
  5. Step 5: Solve for x
    x = 930,663,067.43/46,597.84
  6. Step 6: Final answer
    x = 19,972.24

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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.