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Finding the Fourth Proportional to 30,952.53, 46,428.80 and 11,231.06

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Solution

The fourth proportional to 30,952.53, 46,428.80 and 11,231.06 is: 16,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.53 : 46,428.80 = 11,231.06 : x
  2. Step 2: Convert to fraction form
    30,952.53/46,428.80 = 11,231.06/x
  3. Step 3: Cross multiply
    30,952.53x = 46,428.80 × 11,231.06
  4. Step 4: Simplify right side
    30,952.53x = 521,444,350.23
  5. Step 5: Solve for x
    x = 521,444,350.23/30,952.53
  6. Step 6: Final answer
    x = 16,846.58

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1.5x scale

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.