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Finding the Fourth Proportional to 35,770.50, 53,638.38 and 10,805.76

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Solution

The fourth proportional to 35,770.50, 53,638.38 and 10,805.76 is: 16,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.50 : 53,638.38 = 10,805.76 : x
  2. Step 2: Convert to fraction form
    35,770.50/53,638.38 = 10,805.76/x
  3. Step 3: Cross multiply
    35,770.50x = 53,638.38 × 10,805.76
  4. Step 4: Simplify right side
    35,770.50x = 579,603,461.07
  5. Step 5: Solve for x
    x = 579,603,461.07/35,770.50
  6. Step 6: Final answer
    x = 16,203.39

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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.