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Finding the Fourth Proportional to 35,782.49, 53,675.69 and 10,821.93

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Solution

The fourth proportional to 35,782.49, 53,675.69 and 10,821.93 is: 16,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.49 : 53,675.69 = 10,821.93 : x
  2. Step 2: Convert to fraction form
    35,782.49/53,675.69 = 10,821.93/x
  3. Step 3: Cross multiply
    35,782.49x = 53,675.69 × 10,821.93
  4. Step 4: Simplify right side
    35,782.49x = 580,874,505.77
  5. Step 5: Solve for x
    x = 580,874,505.77/35,782.49
  6. Step 6: Final answer
    x = 16,233.49

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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.