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Finding the Fourth Proportional to 81,032.40, 121,548.60 and 71,409.60

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Solution

The fourth proportional to 81,032.40, 121,548.60 and 71,409.60 is: 107,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,032.40 : 121,548.60 = 71,409.60 : x
  2. Step 2: Convert to fraction form
    81,032.40/121,548.60 = 71,409.60/x
  3. Step 3: Cross multiply
    81,032.40x = 121,548.60 × 71,409.60
  4. Step 4: Simplify right side
    81,032.40x = 8,679,736,906.56
  5. Step 5: Solve for x
    x = 8,679,736,906.56/81,032.40
  6. Step 6: Final answer
    x = 107,114.40

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Why These Related Problems?

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