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Finding the Fourth Proportional to 35,197.76, 52,800.08 and 10,238

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Solution

The fourth proportional to 35,197.76, 52,800.08 and 10,238 is: 15,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,197.76 : 52,800.08 = 10,238 : x
  2. Step 2: Convert to fraction form
    35,197.76/52,800.08 = 10,238/x
  3. Step 3: Cross multiply
    35,197.76x = 52,800.08 × 10,238
  4. Step 4: Simplify right side
    35,197.76x = 540,567,219.04
  5. Step 5: Solve for x
    x = 540,567,219.04/35,197.76
  6. Step 6: Final answer
    x = 15,358.00

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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.