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Finding the Fourth Proportional to 30,443.04, 45,673.20 and 9,668.16

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Solution

The fourth proportional to 30,443.04, 45,673.20 and 9,668.16 is: 14,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.04 : 45,673.20 = 9,668.16 : x
  2. Step 2: Convert to fraction form
    30,443.04/45,673.20 = 9,668.16/x
  3. Step 3: Cross multiply
    30,443.04x = 45,673.20 × 9,668.16
  4. Step 4: Simplify right side
    30,443.04x = 441,575,805.31
  5. Step 5: Solve for x
    x = 441,575,805.31/30,443.04
  6. Step 6: Final answer
    x = 14,504.98

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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.