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Finding the Fourth Proportional to 30,022.04, 45,033.06 and 7,835.23

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Solution

The fourth proportional to 30,022.04, 45,033.06 and 7,835.23 is: 11,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.04 : 45,033.06 = 7,835.23 : x
  2. Step 2: Convert to fraction form
    30,022.04/45,033.06 = 7,835.23/x
  3. Step 3: Cross multiply
    30,022.04x = 45,033.06 × 7,835.23
  4. Step 4: Simplify right side
    30,022.04x = 352,844,254.65
  5. Step 5: Solve for x
    x = 352,844,254.65/30,022.04
  6. Step 6: Final answer
    x = 11,752.84

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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.