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Finding the Fourth Proportional to 29,557, 40,788.66 and 16,309

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Solution

The fourth proportional to 29,557, 40,788.66 and 16,309 is: 22,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557 : 40,788.66 = 16,309 : x
  2. Step 2: Convert to fraction form
    29,557/40,788.66 = 16,309/x
  3. Step 3: Cross multiply
    29,557x = 40,788.66 × 16,309
  4. Step 4: Simplify right side
    29,557x = 665,222,255.94
  5. Step 5: Solve for x
    x = 665,222,255.94/29,557
  6. Step 6: Final answer
    x = 22,506.42

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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.