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Finding the Fourth Proportional to 47,592.90, 65,682.09 and 26,379

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Solution

The fourth proportional to 47,592.90, 65,682.09 and 26,379 is: 36,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,592.90 : 65,682.09 = 26,379 : x
  2. Step 2: Convert to fraction form
    47,592.90/65,682.09 = 26,379/x
  3. Step 3: Cross multiply
    47,592.90x = 65,682.09 × 26,379
  4. Step 4: Simplify right side
    47,592.90x = 1,732,627,852.11
  5. Step 5: Solve for x
    x = 1,732,627,852.11/47,592.90
  6. Step 6: Final answer
    x = 36,405.17

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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.