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Finding the Fourth Proportional to 19,548, 29,321.70 and 4,756.93

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Solution

The fourth proportional to 19,548, 29,321.70 and 4,756.93 is: 7,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548 : 29,321.70 = 4,756.93 : x
  2. Step 2: Convert to fraction form
    19,548/29,321.70 = 4,756.93/x
  3. Step 3: Cross multiply
    19,548x = 29,321.70 × 4,756.93
  4. Step 4: Simplify right side
    19,548x = 139,481,183.24
  5. Step 5: Solve for x
    x = 139,481,183.24/19,548
  6. Step 6: Final answer
    x = 7,135.32

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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.