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Finding the Fourth Proportional to 47,051.54, 64,932 and 25,831.56

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Solution

The fourth proportional to 47,051.54, 64,932 and 25,831.56 is: 35,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051.54 : 64,932 = 25,831.56 : x
  2. Step 2: Convert to fraction form
    47,051.54/64,932 = 25,831.56/x
  3. Step 3: Cross multiply
    47,051.54x = 64,932 × 25,831.56
  4. Step 4: Simplify right side
    47,051.54x = 1,677,294,853.92
  5. Step 5: Solve for x
    x = 1,677,294,853.92/47,051.54
  6. Step 6: Final answer
    x = 35,648.03

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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.