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Finding the Fourth Proportional to 30,706.52, 46,043.37 and 9,642.67

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Solution

The fourth proportional to 30,706.52, 46,043.37 and 9,642.67 is: 14,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.52 : 46,043.37 = 9,642.67 : x
  2. Step 2: Convert to fraction form
    30,706.52/46,043.37 = 9,642.67/x
  3. Step 3: Cross multiply
    30,706.52x = 46,043.37 × 9,642.67
  4. Step 4: Simplify right side
    30,706.52x = 443,980,907.49
  5. Step 5: Solve for x
    x = 443,980,907.49/30,706.52
  6. Step 6: Final answer
    x = 14,458.85

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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.