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Finding the Fourth Proportional to 171,636.10, 257,450.10 and 46,977.10

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Solution

The fourth proportional to 171,636.10, 257,450.10 and 46,977.10 is: 70,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,636.10 : 257,450.10 = 46,977.10 : x
  2. Step 2: Convert to fraction form
    171,636.10/257,450.10 = 46,977.10/x
  3. Step 3: Cross multiply
    171,636.10x = 257,450.10 × 46,977.10
  4. Step 4: Simplify right side
    171,636.10x = 12,094,259,092.71
  5. Step 5: Solve for x
    x = 12,094,259,092.71/171,636.10
  6. Step 6: Final answer
    x = 70,464.54

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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.