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Finding the Fourth Proportional to 30,925, 46,389.26 and 9,863.56

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Solution

The fourth proportional to 30,925, 46,389.26 and 9,863.56 is: 14,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925 : 46,389.26 = 9,863.56 : x
  2. Step 2: Convert to fraction form
    30,925/46,389.26 = 9,863.56/x
  3. Step 3: Cross multiply
    30,925x = 46,389.26 × 9,863.56
  4. Step 4: Simplify right side
    30,925x = 457,563,249.37
  5. Step 5: Solve for x
    x = 457,563,249.37/30,925
  6. Step 6: Final answer
    x = 14,795.90

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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.