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Finding the Fourth Proportional to 30,290.46, 45,435.72 and 10,564.26

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Solution

The fourth proportional to 30,290.46, 45,435.72 and 10,564.26 is: 15,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.46 : 45,435.72 = 10,564.26 : x
  2. Step 2: Convert to fraction form
    30,290.46/45,435.72 = 10,564.26/x
  3. Step 3: Cross multiply
    30,290.46x = 45,435.72 × 10,564.26
  4. Step 4: Simplify right side
    30,290.46x = 479,994,759.37
  5. Step 5: Solve for x
    x = 479,994,759.37/30,290.46
  6. Step 6: Final answer
    x = 15,846.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.