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Finding the Fourth Proportional to 41,835, 62,762.22 and 14,133

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Solution

The fourth proportional to 41,835, 62,762.22 and 14,133 is: 21,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,835 : 62,762.22 = 14,133 : x
  2. Step 2: Convert to fraction form
    41,835/62,762.22 = 14,133/x
  3. Step 3: Cross multiply
    41,835x = 62,762.22 × 14,133
  4. Step 4: Simplify right side
    41,835x = 887,018,455.26
  5. Step 5: Solve for x
    x = 887,018,455.26/41,835
  6. Step 6: Final answer
    x = 21,202.78

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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.