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Finding the Fourth Proportional to 30,629.84, 45,951.13 and 9,569.03

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Solution

The fourth proportional to 30,629.84, 45,951.13 and 9,569.03 is: 14,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629.84 : 45,951.13 = 9,569.03 : x
  2. Step 2: Convert to fraction form
    30,629.84/45,951.13 = 9,569.03/x
  3. Step 3: Cross multiply
    30,629.84x = 45,951.13 × 9,569.03
  4. Step 4: Simplify right side
    30,629.84x = 439,707,679.86
  5. Step 5: Solve for x
    x = 439,707,679.86/30,629.84
  6. Step 6: Final answer
    x = 14,355.53

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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.