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Finding the Fourth Proportional to 51,630.88, 77,449.20 and 14,692

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Solution

The fourth proportional to 51,630.88, 77,449.20 and 14,692 is: 22,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,630.88 : 77,449.20 = 14,692 : x
  2. Step 2: Convert to fraction form
    51,630.88/77,449.20 = 14,692/x
  3. Step 3: Cross multiply
    51,630.88x = 77,449.20 × 14,692
  4. Step 4: Simplify right side
    51,630.88x = 1,137,883,646.40
  5. Step 5: Solve for x
    x = 1,137,883,646.40/51,630.88
  6. Step 6: Final answer
    x = 22,038.82

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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.