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Finding the Fourth Proportional to 34,007.34, 51,002.37 and 13,219.50

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Solution

The fourth proportional to 34,007.34, 51,002.37 and 13,219.50 is: 19,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.34 : 51,002.37 = 13,219.50 : x
  2. Step 2: Convert to fraction form
    34,007.34/51,002.37 = 13,219.50/x
  3. Step 3: Cross multiply
    34,007.34x = 51,002.37 × 13,219.50
  4. Step 4: Simplify right side
    34,007.34x = 674,225,830.22
  5. Step 5: Solve for x
    x = 674,225,830.22/34,007.34
  6. Step 6: Final answer
    x = 19,825.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.