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Finding the Fourth Proportional to 35,165.61, 52,756.11 and 10,206

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Solution

The fourth proportional to 35,165.61, 52,756.11 and 10,206 is: 15,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,165.61 : 52,756.11 = 10,206 : x
  2. Step 2: Convert to fraction form
    35,165.61/52,756.11 = 10,206/x
  3. Step 3: Cross multiply
    35,165.61x = 52,756.11 × 10,206
  4. Step 4: Simplify right side
    35,165.61x = 538,428,858.66
  5. Step 5: Solve for x
    x = 538,428,858.66/35,165.61
  6. Step 6: Final answer
    x = 15,311.23

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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.