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Finding the Fourth Proportional to 55,506.40, 83,259.60 and 20,438.80

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Solution

The fourth proportional to 55,506.40, 83,259.60 and 20,438.80 is: 30,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506.40 : 83,259.60 = 20,438.80 : x
  2. Step 2: Convert to fraction form
    55,506.40/83,259.60 = 20,438.80/x
  3. Step 3: Cross multiply
    55,506.40x = 83,259.60 × 20,438.80
  4. Step 4: Simplify right side
    55,506.40x = 1,701,726,312.48
  5. Step 5: Solve for x
    x = 1,701,726,312.48/55,506.40
  6. Step 6: Final answer
    x = 30,658.20

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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.