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Finding the Fourth Proportional to 34,830.38, 48,065.49 and 18,914.94

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Solution

The fourth proportional to 34,830.38, 48,065.49 and 18,914.94 is: 26,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,830.38 : 48,065.49 = 18,914.94 : x
  2. Step 2: Convert to fraction form
    34,830.38/48,065.49 = 18,914.94/x
  3. Step 3: Cross multiply
    34,830.38x = 48,065.49 × 18,914.94
  4. Step 4: Simplify right side
    34,830.38x = 909,155,859.42
  5. Step 5: Solve for x
    x = 909,155,859.42/34,830.38
  6. Step 6: Final answer
    x = 26,102.38

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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.