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Finding the Fourth Proportional to 29,505.69, 44,262.90 and 9,779.90

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Solution

The fourth proportional to 29,505.69, 44,262.90 and 9,779.90 is: 14,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,505.69 : 44,262.90 = 9,779.90 : x
  2. Step 2: Convert to fraction form
    29,505.69/44,262.90 = 9,779.90/x
  3. Step 3: Cross multiply
    29,505.69x = 44,262.90 × 9,779.90
  4. Step 4: Simplify right side
    29,505.69x = 432,886,514.40
  5. Step 5: Solve for x
    x = 432,886,514.40/29,505.69
  6. Step 6: Final answer
    x = 14,671.29

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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.