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Finding the Fourth Proportional to 51,748.64, 77,606.64 and 16,680.80

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Solution

The fourth proportional to 51,748.64, 77,606.64 and 16,680.80 is: 25,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,748.64 : 77,606.64 = 16,680.80 : x
  2. Step 2: Convert to fraction form
    51,748.64/77,606.64 = 16,680.80/x
  3. Step 3: Cross multiply
    51,748.64x = 77,606.64 × 16,680.80
  4. Step 4: Simplify right side
    51,748.64x = 1,294,540,840.51
  5. Step 5: Solve for x
    x = 1,294,540,840.51/51,748.64
  6. Step 6: Final answer
    x = 25,015.94

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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.