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Finding the Fourth Proportional to 51,890.74, 77,835.96 and 16,355.03

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Solution

The fourth proportional to 51,890.74, 77,835.96 and 16,355.03 is: 24,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890.74 : 77,835.96 = 16,355.03 : x
  2. Step 2: Convert to fraction form
    51,890.74/77,835.96 = 16,355.03/x
  3. Step 3: Cross multiply
    51,890.74x = 77,835.96 × 16,355.03
  4. Step 4: Simplify right side
    51,890.74x = 1,273,009,071.70
  5. Step 5: Solve for x
    x = 1,273,009,071.70/51,890.74
  6. Step 6: Final answer
    x = 24,532.49

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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.