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Finding the Fourth Proportional to 51,671, 77,507.22 and 14,735

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Solution

The fourth proportional to 51,671, 77,507.22 and 14,735 is: 22,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671 : 77,507.22 = 14,735 : x
  2. Step 2: Convert to fraction form
    51,671/77,507.22 = 14,735/x
  3. Step 3: Cross multiply
    51,671x = 77,507.22 × 14,735
  4. Step 4: Simplify right side
    51,671x = 1,142,068,886.70
  5. Step 5: Solve for x
    x = 1,142,068,886.70/51,671
  6. Step 6: Final answer
    x = 22,102.71

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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.