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Finding the Fourth Proportional to 30,514.76, 45,772.49 and 10,779.51

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Solution

The fourth proportional to 30,514.76, 45,772.49 and 10,779.51 is: 16,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.76 : 45,772.49 = 10,779.51 : x
  2. Step 2: Convert to fraction form
    30,514.76/45,772.49 = 10,779.51/x
  3. Step 3: Cross multiply
    30,514.76x = 45,772.49 × 10,779.51
  4. Step 4: Simplify right side
    30,514.76x = 493,405,212.28
  5. Step 5: Solve for x
    x = 493,405,212.28/30,514.76
  6. Step 6: Final answer
    x = 16,169.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.