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Finding the Fourth Proportional to 30,255.84, 45,333.36 and 10,523.52

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Solution

The fourth proportional to 30,255.84, 45,333.36 and 10,523.52 is: 15,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.84 : 45,333.36 = 10,523.52 : x
  2. Step 2: Convert to fraction form
    30,255.84/45,333.36 = 10,523.52/x
  3. Step 3: Cross multiply
    30,255.84x = 45,333.36 × 10,523.52
  4. Step 4: Simplify right side
    30,255.84x = 477,066,520.63
  5. Step 5: Solve for x
    x = 477,066,520.63/30,255.84
  6. Step 6: Final answer
    x = 15,767.75

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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.