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Finding the Fourth Proportional to 47,651.82, 65,762.82 and 26,433.06

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Solution

The fourth proportional to 47,651.82, 65,762.82 and 26,433.06 is: 36,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.82 : 65,762.82 = 26,433.06 : x
  2. Step 2: Convert to fraction form
    47,651.82/65,762.82 = 26,433.06/x
  3. Step 3: Cross multiply
    47,651.82x = 65,762.82 × 26,433.06
  4. Step 4: Simplify right side
    47,651.82x = 1,738,312,566.83
  5. Step 5: Solve for x
    x = 1,738,312,566.83/47,651.82
  6. Step 6: Final answer
    x = 36,479.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.