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Finding the Fourth Proportional to 41,657.64, 62,485.65 and 10,493.16

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Solution

The fourth proportional to 41,657.64, 62,485.65 and 10,493.16 is: 15,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.64 : 62,485.65 = 10,493.16 : x
  2. Step 2: Convert to fraction form
    41,657.64/62,485.65 = 10,493.16/x
  3. Step 3: Cross multiply
    41,657.64x = 62,485.65 × 10,493.16
  4. Step 4: Simplify right side
    41,657.64x = 655,671,923.15
  5. Step 5: Solve for x
    x = 655,671,923.15/41,657.64
  6. Step 6: Final answer
    x = 15,739.54

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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.