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Finding the Fourth Proportional to 35,852.66, 53,781.84 and 10,894.89

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Solution

The fourth proportional to 35,852.66, 53,781.84 and 10,894.89 is: 16,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.66 : 53,781.84 = 10,894.89 : x
  2. Step 2: Convert to fraction form
    35,852.66/53,781.84 = 10,894.89/x
  3. Step 3: Cross multiply
    35,852.66x = 53,781.84 × 10,894.89
  4. Step 4: Simplify right side
    35,852.66x = 585,947,230.80
  5. Step 5: Solve for x
    x = 585,947,230.80/35,852.66
  6. Step 6: Final answer
    x = 16,343.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.