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Finding the Fourth Proportional to 29,695.24, 40,978.34 and 16,266.62

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Solution

The fourth proportional to 29,695.24, 40,978.34 and 16,266.62 is: 22,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.24 : 40,978.34 = 16,266.62 : x
  2. Step 2: Convert to fraction form
    29,695.24/40,978.34 = 16,266.62/x
  3. Step 3: Cross multiply
    29,695.24x = 40,978.34 × 16,266.62
  4. Step 4: Simplify right side
    29,695.24x = 666,579,167.12
  5. Step 5: Solve for x
    x = 666,579,167.12/29,695.24
  6. Step 6: Final answer
    x = 22,447.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.