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Finding the Fourth Proportional to 30,361.20, 45,541.59 and 9,584.70

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Solution

The fourth proportional to 30,361.20, 45,541.59 and 9,584.70 is: 14,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.20 : 45,541.59 = 9,584.70 : x
  2. Step 2: Convert to fraction form
    30,361.20/45,541.59 = 9,584.70/x
  3. Step 3: Cross multiply
    30,361.20x = 45,541.59 × 9,584.70
  4. Step 4: Simplify right side
    30,361.20x = 436,502,477.67
  5. Step 5: Solve for x
    x = 436,502,477.67/30,361.20
  6. Step 6: Final answer
    x = 14,376.98

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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.