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Finding the Fourth Proportional to 47,649.44, 71,451 and 14,363.32

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Solution

The fourth proportional to 47,649.44, 71,451 and 14,363.32 is: 21,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649.44 : 71,451 = 14,363.32 : x
  2. Step 2: Convert to fraction form
    47,649.44/71,451 = 14,363.32/x
  3. Step 3: Cross multiply
    47,649.44x = 71,451 × 14,363.32
  4. Step 4: Simplify right side
    47,649.44x = 1,026,273,577.32
  5. Step 5: Solve for x
    x = 1,026,273,577.32/47,649.44
  6. Step 6: Final answer
    x = 21,538.00

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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.