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Finding the Fourth Proportional to 51,903.77, 77,866.61 and 16,840.71

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Solution

The fourth proportional to 51,903.77, 77,866.61 and 16,840.71 is: 25,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.77 : 77,866.61 = 16,840.71 : x
  2. Step 2: Convert to fraction form
    51,903.77/77,866.61 = 16,840.71/x
  3. Step 3: Cross multiply
    51,903.77x = 77,866.61 × 16,840.71
  4. Step 4: Simplify right side
    51,903.77x = 1,311,328,913.49
  5. Step 5: Solve for x
    x = 1,311,328,913.49/51,903.77
  6. Step 6: Final answer
    x = 25,264.62

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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.