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Finding the Fourth Proportional to 30,522.12, 45,784.80 and 9,744

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Solution

The fourth proportional to 30,522.12, 45,784.80 and 9,744 is: 14,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.12 : 45,784.80 = 9,744 : x
  2. Step 2: Convert to fraction form
    30,522.12/45,784.80 = 9,744/x
  3. Step 3: Cross multiply
    30,522.12x = 45,784.80 × 9,744
  4. Step 4: Simplify right side
    30,522.12x = 446,127,091.20
  5. Step 5: Solve for x
    x = 446,127,091.20/30,522.12
  6. Step 6: Final answer
    x = 14,616.52

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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.