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Finding the Fourth Proportional to 37,581.50, 51,848.16 and 24,840.74

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Solution

The fourth proportional to 37,581.50, 51,848.16 and 24,840.74 is: 34,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,581.50 : 51,848.16 = 24,840.74 : x
  2. Step 2: Convert to fraction form
    37,581.50/51,848.16 = 24,840.74/x
  3. Step 3: Cross multiply
    37,581.50x = 51,848.16 × 24,840.74
  4. Step 4: Simplify right side
    37,581.50x = 1,287,946,662.04
  5. Step 5: Solve for x
    x = 1,287,946,662.04/37,581.50
  6. Step 6: Final answer
    x = 34,270.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.