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Finding the Fourth Proportional to 32,647.38, 48,973.32 and 10,155

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Solution

The fourth proportional to 32,647.38, 48,973.32 and 10,155 is: 15,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.38 : 48,973.32 = 10,155 : x
  2. Step 2: Convert to fraction form
    32,647.38/48,973.32 = 10,155/x
  3. Step 3: Cross multiply
    32,647.38x = 48,973.32 × 10,155
  4. Step 4: Simplify right side
    32,647.38x = 497,324,064.60
  5. Step 5: Solve for x
    x = 497,324,064.60/32,647.38
  6. Step 6: Final answer
    x = 15,233.20

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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.