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Finding the Fourth Proportional to 30,522.97, 45,785.67 and 9,465.20

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Solution

The fourth proportional to 30,522.97, 45,785.67 and 9,465.20 is: 14,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.97 : 45,785.67 = 9,465.20 : x
  2. Step 2: Convert to fraction form
    30,522.97/45,785.67 = 9,465.20/x
  3. Step 3: Cross multiply
    30,522.97x = 45,785.67 × 9,465.20
  4. Step 4: Simplify right side
    30,522.97x = 433,370,294.76
  5. Step 5: Solve for x
    x = 433,370,294.76/30,522.97
  6. Step 6: Final answer
    x = 14,198.17

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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.