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Finding the Fourth Proportional to 35,269.34, 52,908.96 and 10,311.20

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Solution

The fourth proportional to 35,269.34, 52,908.96 and 10,311.20 is: 15,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,269.34 : 52,908.96 = 10,311.20 : x
  2. Step 2: Convert to fraction form
    35,269.34/52,908.96 = 10,311.20/x
  3. Step 3: Cross multiply
    35,269.34x = 52,908.96 × 10,311.20
  4. Step 4: Simplify right side
    35,269.34x = 545,554,868.35
  5. Step 5: Solve for x
    x = 545,554,868.35/35,269.34
  6. Step 6: Final answer
    x = 15,468.25

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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.