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Finding the Fourth Proportional to 47,328, 65,278.37 and 32,193.81

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Solution

The fourth proportional to 47,328, 65,278.37 and 32,193.81 is: 44,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328 : 65,278.37 = 32,193.81 : x
  2. Step 2: Convert to fraction form
    47,328/65,278.37 = 32,193.81/x
  3. Step 3: Cross multiply
    47,328x = 65,278.37 × 32,193.81
  4. Step 4: Simplify right side
    47,328x = 2,101,559,440.89
  5. Step 5: Solve for x
    x = 2,101,559,440.89/47,328
  6. Step 6: Final answer
    x = 44,404.15

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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.