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Finding the Fourth Proportional to 29,932, 41,307.90 and 16,506.11

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Solution

The fourth proportional to 29,932, 41,307.90 and 16,506.11 is: 22,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932 : 41,307.90 = 16,506.11 : x
  2. Step 2: Convert to fraction form
    29,932/41,307.90 = 16,506.11/x
  3. Step 3: Cross multiply
    29,932x = 41,307.90 × 16,506.11
  4. Step 4: Simplify right side
    29,932x = 681,832,741.27
  5. Step 5: Solve for x
    x = 681,832,741.27/29,932
  6. Step 6: Final answer
    x = 22,779.39

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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.