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Finding the Fourth Proportional to 35,174.70, 52,753.77 and 10,208.16

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Solution

The fourth proportional to 35,174.70, 52,753.77 and 10,208.16 is: 15,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174.70 : 52,753.77 = 10,208.16 : x
  2. Step 2: Convert to fraction form
    35,174.70/52,753.77 = 10,208.16/x
  3. Step 3: Cross multiply
    35,174.70x = 52,753.77 × 10,208.16
  4. Step 4: Simplify right side
    35,174.70x = 538,518,924.76
  5. Step 5: Solve for x
    x = 538,518,924.76/35,174.70
  6. Step 6: Final answer
    x = 15,309.84

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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.