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Finding the Fourth Proportional to 35,305.63, 52,965.74 and 10,346.49

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Solution

The fourth proportional to 35,305.63, 52,965.74 and 10,346.49 is: 15,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,305.63 : 52,965.74 = 10,346.49 : x
  2. Step 2: Convert to fraction form
    35,305.63/52,965.74 = 10,346.49/x
  3. Step 3: Cross multiply
    35,305.63x = 52,965.74 × 10,346.49
  4. Step 4: Simplify right side
    35,305.63x = 548,009,525.12
  5. Step 5: Solve for x
    x = 548,009,525.12/35,305.63
  6. Step 6: Final answer
    x = 15,521.87

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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.