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Finding the Fourth Proportional to 47,648.26, 65,762.47 and 26,434.36

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Solution

The fourth proportional to 47,648.26, 65,762.47 and 26,434.36 is: 36,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.26 : 65,762.47 = 26,434.36 : x
  2. Step 2: Convert to fraction form
    47,648.26/65,762.47 = 26,434.36/x
  3. Step 3: Cross multiply
    47,648.26x = 65,762.47 × 26,434.36
  4. Step 4: Simplify right side
    47,648.26x = 1,738,388,699.58
  5. Step 5: Solve for x
    x = 1,738,388,699.58/47,648.26
  6. Step 6: Final answer
    x = 36,483.78

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