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Finding the Fourth Proportional to 77,672, 116,527.44 and 22,268

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Solution

The fourth proportional to 77,672, 116,527.44 and 22,268 is: 33,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672 : 116,527.44 = 22,268 : x
  2. Step 2: Convert to fraction form
    77,672/116,527.44 = 22,268/x
  3. Step 3: Cross multiply
    77,672x = 116,527.44 × 22,268
  4. Step 4: Simplify right side
    77,672x = 2,594,833,033.92
  5. Step 5: Solve for x
    x = 2,594,833,033.92/77,672
  6. Step 6: Final answer
    x = 33,407.57

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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.