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Finding the Fourth Proportional to 35,195.76, 52,797.08 and 10,236

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Solution

The fourth proportional to 35,195.76, 52,797.08 and 10,236 is: 15,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,195.76 : 52,797.08 = 10,236 : x
  2. Step 2: Convert to fraction form
    35,195.76/52,797.08 = 10,236/x
  3. Step 3: Cross multiply
    35,195.76x = 52,797.08 × 10,236
  4. Step 4: Simplify right side
    35,195.76x = 540,430,859.70
  5. Step 5: Solve for x
    x = 540,430,859.70/35,195.76
  6. Step 6: Final answer
    x = 15,355.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.