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Finding the Fourth Proportional to 33,647.80, 46,433.44 and 19,307.06

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Solution

The fourth proportional to 33,647.80, 46,433.44 and 19,307.06 is: 26,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.80 : 46,433.44 = 19,307.06 : x
  2. Step 2: Convert to fraction form
    33,647.80/46,433.44 = 19,307.06/x
  3. Step 3: Cross multiply
    33,647.80x = 46,433.44 × 19,307.06
  4. Step 4: Simplify right side
    33,647.80x = 896,492,883.38
  5. Step 5: Solve for x
    x = 896,492,883.38/33,647.80
  6. Step 6: Final answer
    x = 26,643.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.