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Finding the Fourth Proportional to 34,332.90, 51,463.85 and 19,509.90

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Solution

The fourth proportional to 34,332.90, 51,463.85 and 19,509.90 is: 29,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,332.90 : 51,463.85 = 19,509.90 : x
  2. Step 2: Convert to fraction form
    34,332.90/51,463.85 = 19,509.90/x
  3. Step 3: Cross multiply
    34,332.90x = 51,463.85 × 19,509.90
  4. Step 4: Simplify right side
    34,332.90x = 1,004,054,469.57
  5. Step 5: Solve for x
    x = 1,004,054,469.57/34,332.90
  6. Step 6: Final answer
    x = 29,244.67

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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.