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Finding the Fourth Proportional to 29,675.98, 40,952.86 and 16,248.10

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Solution

The fourth proportional to 29,675.98, 40,952.86 and 16,248.10 is: 22,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675.98 : 40,952.86 = 16,248.10 : x
  2. Step 2: Convert to fraction form
    29,675.98/40,952.86 = 16,248.10/x
  3. Step 3: Cross multiply
    29,675.98x = 40,952.86 × 16,248.10
  4. Step 4: Simplify right side
    29,675.98x = 665,406,021.56
  5. Step 5: Solve for x
    x = 665,406,021.56/29,675.98
  6. Step 6: Final answer
    x = 22,422.38

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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.