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Finding the Fourth Proportional to 48,825.40, 73,238.10 and 22,581.40

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Solution

The fourth proportional to 48,825.40, 73,238.10 and 22,581.40 is: 33,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,825.40 : 73,238.10 = 22,581.40 : x
  2. Step 2: Convert to fraction form
    48,825.40/73,238.10 = 22,581.40/x
  3. Step 3: Cross multiply
    48,825.40x = 73,238.10 × 22,581.40
  4. Step 4: Simplify right side
    48,825.40x = 1,653,818,831.34
  5. Step 5: Solve for x
    x = 1,653,818,831.34/48,825.40
  6. Step 6: Final answer
    x = 33,872.10

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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.