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Finding the Fourth Proportional to 32,779.90, 49,168.56 and 9,406.34

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Solution

The fourth proportional to 32,779.90, 49,168.56 and 9,406.34 is: 14,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779.90 : 49,168.56 = 9,406.34 : x
  2. Step 2: Convert to fraction form
    32,779.90/49,168.56 = 9,406.34/x
  3. Step 3: Cross multiply
    32,779.90x = 49,168.56 × 9,406.34
  4. Step 4: Simplify right side
    32,779.90x = 462,496,192.67
  5. Step 5: Solve for x
    x = 462,496,192.67/32,779.90
  6. Step 6: Final answer
    x = 14,109.14

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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.