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Finding the Fourth Proportional to 171,698.10, 257,543.10 and 47,039.10

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Solution

The fourth proportional to 171,698.10, 257,543.10 and 47,039.10 is: 70,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.10 : 257,543.10 = 47,039.10 : x
  2. Step 2: Convert to fraction form
    171,698.10/257,543.10 = 47,039.10/x
  3. Step 3: Cross multiply
    171,698.10x = 257,543.10 × 47,039.10
  4. Step 4: Simplify right side
    171,698.10x = 12,114,595,635.21
  5. Step 5: Solve for x
    x = 12,114,595,635.21/171,698.10
  6. Step 6: Final answer
    x = 70,557.54

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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.