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Finding the Fourth Proportional to 51,420.48, 70,948.74 and 32,546.64

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Solution

The fourth proportional to 51,420.48, 70,948.74 and 32,546.64 is: 44,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,420.48 : 70,948.74 = 32,546.64 : x
  2. Step 2: Convert to fraction form
    51,420.48/70,948.74 = 32,546.64/x
  3. Step 3: Cross multiply
    51,420.48x = 70,948.74 × 32,546.64
  4. Step 4: Simplify right side
    51,420.48x = 2,309,143,099.23
  5. Step 5: Solve for x
    x = 2,309,143,099.23/51,420.48
  6. Step 6: Final answer
    x = 44,907.07

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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.