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Finding the Fourth Proportional to 81,548.64, 122,321.34 and 46,413

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Solution

The fourth proportional to 81,548.64, 122,321.34 and 46,413 is: 69,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,548.64 : 122,321.34 = 46,413 : x
  2. Step 2: Convert to fraction form
    81,548.64/122,321.34 = 46,413/x
  3. Step 3: Cross multiply
    81,548.64x = 122,321.34 × 46,413
  4. Step 4: Simplify right side
    81,548.64x = 5,677,300,353.42
  5. Step 5: Solve for x
    x = 5,677,300,353.42/81,548.64
  6. Step 6: Final answer
    x = 69,618.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.