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Finding the Fourth Proportional to 51,571.12, 77,383.02 and 24,583.96

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Solution

The fourth proportional to 51,571.12, 77,383.02 and 24,583.96 is: 36,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,571.12 : 77,383.02 = 24,583.96 : x
  2. Step 2: Convert to fraction form
    51,571.12/77,383.02 = 24,583.96/x
  3. Step 3: Cross multiply
    51,571.12x = 77,383.02 × 24,583.96
  4. Step 4: Simplify right side
    51,571.12x = 1,902,381,068.36
  5. Step 5: Solve for x
    x = 1,902,381,068.36/51,571.12
  6. Step 6: Final answer
    x = 36,888.50

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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.