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Finding the Fourth Proportional to 50,977.60, 76,466.40 and 15,920.80

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Solution

The fourth proportional to 50,977.60, 76,466.40 and 15,920.80 is: 23,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.60 : 76,466.40 = 15,920.80 : x
  2. Step 2: Convert to fraction form
    50,977.60/76,466.40 = 15,920.80/x
  3. Step 3: Cross multiply
    50,977.60x = 76,466.40 × 15,920.80
  4. Step 4: Simplify right side
    50,977.60x = 1,217,406,261.12
  5. Step 5: Solve for x
    x = 1,217,406,261.12/50,977.60
  6. Step 6: Final answer
    x = 23,881.20

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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.