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Finding the Fourth Proportional to 30,273.82, 45,411 and 10,552.36

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Solution

The fourth proportional to 30,273.82, 45,411 and 10,552.36 is: 15,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273.82 : 45,411 = 10,552.36 : x
  2. Step 2: Convert to fraction form
    30,273.82/45,411 = 10,552.36/x
  3. Step 3: Cross multiply
    30,273.82x = 45,411 × 10,552.36
  4. Step 4: Simplify right side
    30,273.82x = 479,193,219.96
  5. Step 5: Solve for x
    x = 479,193,219.96/30,273.82
  6. Step 6: Final answer
    x = 15,828.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.