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Finding the Fourth Proportional to 32,652.08, 48,964.08 and 10,458.08

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Solution

The fourth proportional to 32,652.08, 48,964.08 and 10,458.08 is: 15,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.08 : 48,964.08 = 10,458.08 : x
  2. Step 2: Convert to fraction form
    32,652.08/48,964.08 = 10,458.08/x
  3. Step 3: Cross multiply
    32,652.08x = 48,964.08 × 10,458.08
  4. Step 4: Simplify right side
    32,652.08x = 512,070,265.77
  5. Step 5: Solve for x
    x = 512,070,265.77/32,652.08
  6. Step 6: Final answer
    x = 15,682.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.