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Finding the Fourth Proportional to 30,279.84, 45,421.68 and 9,504.16

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Solution

The fourth proportional to 30,279.84, 45,421.68 and 9,504.16 is: 14,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279.84 : 45,421.68 = 9,504.16 : x
  2. Step 2: Convert to fraction form
    30,279.84/45,421.68 = 9,504.16/x
  3. Step 3: Cross multiply
    30,279.84x = 45,421.68 × 9,504.16
  4. Step 4: Simplify right side
    30,279.84x = 431,694,914.19
  5. Step 5: Solve for x
    x = 431,694,914.19/30,279.84
  6. Step 6: Final answer
    x = 14,256.84

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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.