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Finding the Fourth Proportional to 30,303, 45,457.09 and 9,247.78

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Solution

The fourth proportional to 30,303, 45,457.09 and 9,247.78 is: 13,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303 : 45,457.09 = 9,247.78 : x
  2. Step 2: Convert to fraction form
    30,303/45,457.09 = 9,247.78/x
  3. Step 3: Cross multiply
    30,303x = 45,457.09 × 9,247.78
  4. Step 4: Simplify right side
    30,303x = 420,377,031.00
  5. Step 5: Solve for x
    x = 420,377,031.00/30,303
  6. Step 6: Final answer
    x = 13,872.46

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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.