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Finding the Fourth Proportional to 32,775.08, 49,152.42 and 11,712.20

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Solution

The fourth proportional to 32,775.08, 49,152.42 and 11,712.20 is: 17,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.08 : 49,152.42 = 11,712.20 : x
  2. Step 2: Convert to fraction form
    32,775.08/49,152.42 = 11,712.20/x
  3. Step 3: Cross multiply
    32,775.08x = 49,152.42 × 11,712.20
  4. Step 4: Simplify right side
    32,775.08x = 575,682,727.76
  5. Step 5: Solve for x
    x = 575,682,727.76/32,775.08
  6. Step 6: Final answer
    x = 17,564.65

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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.