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Finding the Fourth Proportional to 32,782.80, 49,174.47 and 9,409.98

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Solution

The fourth proportional to 32,782.80, 49,174.47 and 9,409.98 is: 14,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.80 : 49,174.47 = 9,409.98 : x
  2. Step 2: Convert to fraction form
    32,782.80/49,174.47 = 9,409.98/x
  3. Step 3: Cross multiply
    32,782.80x = 49,174.47 × 9,409.98
  4. Step 4: Simplify right side
    32,782.80x = 462,730,779.21
  5. Step 5: Solve for x
    x = 462,730,779.21/32,782.80
  6. Step 6: Final answer
    x = 14,115.05

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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.