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Finding the Fourth Proportional to 30,832.56, 46,248.81 and 7,458.99

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Solution

The fourth proportional to 30,832.56, 46,248.81 and 7,458.99 is: 11,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.56 : 46,248.81 = 7,458.99 : x
  2. Step 2: Convert to fraction form
    30,832.56/46,248.81 = 7,458.99/x
  3. Step 3: Cross multiply
    30,832.56x = 46,248.81 × 7,458.99
  4. Step 4: Simplify right side
    30,832.56x = 344,969,411.30
  5. Step 5: Solve for x
    x = 344,969,411.30/30,832.56
  6. Step 6: Final answer
    x = 11,188.48

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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.