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Finding the Fourth Proportional to 32,971.80, 49,446.57 and 10,779.96

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Solution

The fourth proportional to 32,971.80, 49,446.57 and 10,779.96 is: 16,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.80 : 49,446.57 = 10,779.96 : x
  2. Step 2: Convert to fraction form
    32,971.80/49,446.57 = 10,779.96/x
  3. Step 3: Cross multiply
    32,971.80x = 49,446.57 × 10,779.96
  4. Step 4: Simplify right side
    32,971.80x = 533,032,046.74
  5. Step 5: Solve for x
    x = 533,032,046.74/32,971.80
  6. Step 6: Final answer
    x = 16,166.30

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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.