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Finding the Fourth Proportional to 29,461.05, 44,193.40 and 14,655.06

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Solution

The fourth proportional to 29,461.05, 44,193.40 and 14,655.06 is: 21,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.05 : 44,193.40 = 14,655.06 : x
  2. Step 2: Convert to fraction form
    29,461.05/44,193.40 = 14,655.06/x
  3. Step 3: Cross multiply
    29,461.05x = 44,193.40 × 14,655.06
  4. Step 4: Simplify right side
    29,461.05x = 647,656,891.97
  5. Step 5: Solve for x
    x = 647,656,891.97/29,461.05
  6. Step 6: Final answer
    x = 21,983.50

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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.