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Finding the Fourth Proportional to 42,953.56, 64,414.89 and 14,865.99

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Solution

The fourth proportional to 42,953.56, 64,414.89 and 14,865.99 is: 22,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,953.56 : 64,414.89 = 14,865.99 : x
  2. Step 2: Convert to fraction form
    42,953.56/64,414.89 = 14,865.99/x
  3. Step 3: Cross multiply
    42,953.56x = 64,414.89 × 14,865.99
  4. Step 4: Simplify right side
    42,953.56x = 957,591,110.59
  5. Step 5: Solve for x
    x = 957,591,110.59/42,953.56
  6. Step 6: Final answer
    x = 22,293.64

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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.