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Finding the Fourth Proportional to 34,418, 47,502.60 and 19,522.64

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Solution

The fourth proportional to 34,418, 47,502.60 and 19,522.64 is: 26,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418 : 47,502.60 = 19,522.64 : x
  2. Step 2: Convert to fraction form
    34,418/47,502.60 = 19,522.64/x
  3. Step 3: Cross multiply
    34,418x = 47,502.60 × 19,522.64
  4. Step 4: Simplify right side
    34,418x = 927,376,158.86
  5. Step 5: Solve for x
    x = 927,376,158.86/34,418
  6. Step 6: Final answer
    x = 26,944.51

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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.