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Finding the Fourth Proportional to 30,182.72, 45,262.88 and 10,456

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Solution

The fourth proportional to 30,182.72, 45,262.88 and 10,456 is: 15,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.72 : 45,262.88 = 10,456 : x
  2. Step 2: Convert to fraction form
    30,182.72/45,262.88 = 10,456/x
  3. Step 3: Cross multiply
    30,182.72x = 45,262.88 × 10,456
  4. Step 4: Simplify right side
    30,182.72x = 473,268,673.28
  5. Step 5: Solve for x
    x = 473,268,673.28/30,182.72
  6. Step 6: Final answer
    x = 15,680.12

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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.