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Finding the Fourth Proportional to 47,755.63, 71,646.41 and 14,476.78

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Solution

The fourth proportional to 47,755.63, 71,646.41 and 14,476.78 is: 21,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.63 : 71,646.41 = 14,476.78 : x
  2. Step 2: Convert to fraction form
    47,755.63/71,646.41 = 14,476.78/x
  3. Step 3: Cross multiply
    47,755.63x = 71,646.41 × 14,476.78
  4. Step 4: Simplify right side
    47,755.63x = 1,037,209,242.98
  5. Step 5: Solve for x
    x = 1,037,209,242.98/47,755.63
  6. Step 6: Final answer
    x = 21,719.10

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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.