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Finding the Fourth Proportional to 32,798.06, 49,197.40 and 9,424.50

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Solution

The fourth proportional to 32,798.06, 49,197.40 and 9,424.50 is: 14,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.06 : 49,197.40 = 9,424.50 : x
  2. Step 2: Convert to fraction form
    32,798.06/49,197.40 = 9,424.50/x
  3. Step 3: Cross multiply
    32,798.06x = 49,197.40 × 9,424.50
  4. Step 4: Simplify right side
    32,798.06x = 463,660,896.30
  5. Step 5: Solve for x
    x = 463,660,896.30/32,798.06
  6. Step 6: Final answer
    x = 14,136.84

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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.