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Finding the Fourth Proportional to 116,232.48, 174,355.20 and 33,120

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Solution

The fourth proportional to 116,232.48, 174,355.20 and 33,120 is: 49,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,232.48 : 174,355.20 = 33,120 : x
  2. Step 2: Convert to fraction form
    116,232.48/174,355.20 = 33,120/x
  3. Step 3: Cross multiply
    116,232.48x = 174,355.20 × 33,120
  4. Step 4: Simplify right side
    116,232.48x = 5,774,644,224
  5. Step 5: Solve for x
    x = 5,774,644,224/116,232.48
  6. Step 6: Final answer
    x = 49,681.85

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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.