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Finding the Fourth Proportional to 19,549.50, 29,323.95 and 4,758.44

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Solution

The fourth proportional to 19,549.50, 29,323.95 and 4,758.44 is: 7,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.50 : 29,323.95 = 4,758.44 : x
  2. Step 2: Convert to fraction form
    19,549.50/29,323.95 = 4,758.44/x
  3. Step 3: Cross multiply
    19,549.50x = 29,323.95 × 4,758.44
  4. Step 4: Simplify right side
    19,549.50x = 139,536,110.02
  5. Step 5: Solve for x
    x = 139,536,110.02/19,549.50
  6. Step 6: Final answer
    x = 7,137.58

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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.