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Finding the Fourth Proportional to 51,738.78, 77,574.78 and 24,706.50

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Solution

The fourth proportional to 51,738.78, 77,574.78 and 24,706.50 is: 37,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.78 : 77,574.78 = 24,706.50 : x
  2. Step 2: Convert to fraction form
    51,738.78/77,574.78 = 24,706.50/x
  3. Step 3: Cross multiply
    51,738.78x = 77,574.78 × 24,706.50
  4. Step 4: Simplify right side
    51,738.78x = 1,916,601,302.07
  5. Step 5: Solve for x
    x = 1,916,601,302.07/51,738.78
  6. Step 6: Final answer
    x = 37,043.81

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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.