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Finding the Fourth Proportional to 55,807.40, 83,638.20 and 40,206.80

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Solution

The fourth proportional to 55,807.40, 83,638.20 and 40,206.80 is: 60,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,807.40 : 83,638.20 = 40,206.80 : x
  2. Step 2: Convert to fraction form
    55,807.40/83,638.20 = 40,206.80/x
  3. Step 3: Cross multiply
    55,807.40x = 83,638.20 × 40,206.80
  4. Step 4: Simplify right side
    55,807.40x = 3,362,824,379.76
  5. Step 5: Solve for x
    x = 3,362,824,379.76/55,807.40
  6. Step 6: Final answer
    x = 60,257.68

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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.