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Finding the Fourth Proportional to 47,608.79, 65,693.21 and 26,388

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Solution

The fourth proportional to 47,608.79, 65,693.21 and 26,388 is: 36,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,608.79 : 65,693.21 = 26,388 : x
  2. Step 2: Convert to fraction form
    47,608.79/65,693.21 = 26,388/x
  3. Step 3: Cross multiply
    47,608.79x = 65,693.21 × 26,388
  4. Step 4: Simplify right side
    47,608.79x = 1,733,512,293.54
  5. Step 5: Solve for x
    x = 1,733,512,293.54/47,608.79
  6. Step 6: Final answer
    x = 36,411.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.