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Finding the Fourth Proportional to 47,445, 65,471.56 and 26,223

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Solution

The fourth proportional to 47,445, 65,471.56 and 26,223 is: 36,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,445 : 65,471.56 = 26,223 : x
  2. Step 2: Convert to fraction form
    47,445/65,471.56 = 26,223/x
  3. Step 3: Cross multiply
    47,445x = 65,471.56 × 26,223
  4. Step 4: Simplify right side
    47,445x = 1,716,860,717.88
  5. Step 5: Solve for x
    x = 1,716,860,717.88/47,445
  6. Step 6: Final answer
    x = 36,186.34

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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.