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Finding the Fourth Proportional to 41,347.66, 61,985.06 and 16,405.22

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Solution

The fourth proportional to 41,347.66, 61,985.06 and 16,405.22 is: 24,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,347.66 : 61,985.06 = 16,405.22 : x
  2. Step 2: Convert to fraction form
    41,347.66/61,985.06 = 16,405.22/x
  3. Step 3: Cross multiply
    41,347.66x = 61,985.06 × 16,405.22
  4. Step 4: Simplify right side
    41,347.66x = 1,016,878,546.01
  5. Step 5: Solve for x
    x = 1,016,878,546.01/41,347.66
  6. Step 6: Final answer
    x = 24,593.38

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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.