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Finding the Fourth Proportional to 49,307.60, 73,912.80 and 24,327.20

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Solution

The fourth proportional to 49,307.60, 73,912.80 and 24,327.20 is: 36,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,307.60 : 73,912.80 = 24,327.20 : x
  2. Step 2: Convert to fraction form
    49,307.60/73,912.80 = 24,327.20/x
  3. Step 3: Cross multiply
    49,307.60x = 73,912.80 × 24,327.20
  4. Step 4: Simplify right side
    49,307.60x = 1,798,091,468.16
  5. Step 5: Solve for x
    x = 1,798,091,468.16/49,307.60
  6. Step 6: Final answer
    x = 36,466.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.