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Finding the Fourth Proportional to 32,782.62, 49,130.01 and 30,683.10

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Solution

The fourth proportional to 32,782.62, 49,130.01 and 30,683.10 is: 45,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.62 : 49,130.01 = 30,683.10 : x
  2. Step 2: Convert to fraction form
    32,782.62/49,130.01 = 30,683.10/x
  3. Step 3: Cross multiply
    32,782.62x = 49,130.01 × 30,683.10
  4. Step 4: Simplify right side
    32,782.62x = 1,507,461,009.83
  5. Step 5: Solve for x
    x = 1,507,461,009.83/32,782.62
  6. Step 6: Final answer
    x = 45,983.54

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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.