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Finding the Fourth Proportional to 33,994, 51,012.60 and 17,578

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Solution

The fourth proportional to 33,994, 51,012.60 and 17,578 is: 26,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994 : 51,012.60 = 17,578 : x
  2. Step 2: Convert to fraction form
    33,994/51,012.60 = 17,578/x
  3. Step 3: Cross multiply
    33,994x = 51,012.60 × 17,578
  4. Step 4: Simplify right side
    33,994x = 896,699,482.80
  5. Step 5: Solve for x
    x = 896,699,482.80/33,994
  6. Step 6: Final answer
    x = 26,378.17

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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.