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Finding the Fourth Proportional to 32,762.81, 49,144.23 and 9,389.25

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Solution

The fourth proportional to 32,762.81, 49,144.23 and 9,389.25 is: 14,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.81 : 49,144.23 = 9,389.25 : x
  2. Step 2: Convert to fraction form
    32,762.81/49,144.23 = 9,389.25/x
  3. Step 3: Cross multiply
    32,762.81x = 49,144.23 × 9,389.25
  4. Step 4: Simplify right side
    32,762.81x = 461,427,461.53
  5. Step 5: Solve for x
    x = 461,427,461.53/32,762.81
  6. Step 6: Final answer
    x = 14,083.88

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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.