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Finding the Fourth Proportional to 30,944.32, 46,416.06 and 7,570.96

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Solution

The fourth proportional to 30,944.32, 46,416.06 and 7,570.96 is: 11,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.32 : 46,416.06 = 7,570.96 : x
  2. Step 2: Convert to fraction form
    30,944.32/46,416.06 = 7,570.96/x
  3. Step 3: Cross multiply
    30,944.32x = 46,416.06 × 7,570.96
  4. Step 4: Simplify right side
    30,944.32x = 351,414,133.62
  5. Step 5: Solve for x
    x = 351,414,133.62/30,944.32
  6. Step 6: Final answer
    x = 11,356.34

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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.