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Finding the Fourth Proportional to 30,624, 45,936 and 9,847.50

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Solution

The fourth proportional to 30,624, 45,936 and 9,847.50 is: 14,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624 : 45,936 = 9,847.50 : x
  2. Step 2: Convert to fraction form
    30,624/45,936 = 9,847.50/x
  3. Step 3: Cross multiply
    30,624x = 45,936 × 9,847.50
  4. Step 4: Simplify right side
    30,624x = 452,354,760
  5. Step 5: Solve for x
    x = 452,354,760/30,624
  6. Step 6: Final answer
    x = 14,771.25

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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.