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Finding the Fourth Proportional to 47,538, 65,601.50 and 26,317.41

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Solution

The fourth proportional to 47,538, 65,601.50 and 26,317.41 is: 36,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 65,601.50 = 26,317.41 : x
  2. Step 2: Convert to fraction form
    47,538/65,601.50 = 26,317.41/x
  3. Step 3: Cross multiply
    47,538x = 65,601.50 × 26,317.41
  4. Step 4: Simplify right side
    47,538x = 1,726,461,440.53
  5. Step 5: Solve for x
    x = 1,726,461,440.53/47,538
  6. Step 6: Final answer
    x = 36,317.50

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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.