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Finding the Fourth Proportional to 116,429.55, 174,644.10 and 32,189.50

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Solution

The fourth proportional to 116,429.55, 174,644.10 and 32,189.50 is: 48,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,429.55 : 174,644.10 = 32,189.50 : x
  2. Step 2: Convert to fraction form
    116,429.55/174,644.10 = 32,189.50/x
  3. Step 3: Cross multiply
    116,429.55x = 174,644.10 × 32,189.50
  4. Step 4: Simplify right side
    116,429.55x = 5,621,706,475.26
  5. Step 5: Solve for x
    x = 5,621,706,475.26/116,429.55
  6. Step 6: Final answer
    x = 48,284.19

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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.