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Finding the Fourth Proportional to 51,984.50, 77,989.74 and 15,048.50

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Solution

The fourth proportional to 51,984.50, 77,989.74 and 15,048.50 is: 22,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984.50 : 77,989.74 = 15,048.50 : x
  2. Step 2: Convert to fraction form
    51,984.50/77,989.74 = 15,048.50/x
  3. Step 3: Cross multiply
    51,984.50x = 77,989.74 × 15,048.50
  4. Step 4: Simplify right side
    51,984.50x = 1,173,628,602.39
  5. Step 5: Solve for x
    x = 1,173,628,602.39/51,984.50
  6. Step 6: Final answer
    x = 22,576.51

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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.