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Finding the Fourth Proportional to 32,575.68, 48,867.12 and 10,390.08

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Solution

The fourth proportional to 32,575.68, 48,867.12 and 10,390.08 is: 15,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.68 : 48,867.12 = 10,390.08 : x
  2. Step 2: Convert to fraction form
    32,575.68/48,867.12 = 10,390.08/x
  3. Step 3: Cross multiply
    32,575.68x = 48,867.12 × 10,390.08
  4. Step 4: Simplify right side
    32,575.68x = 507,733,286.17
  5. Step 5: Solve for x
    x = 507,733,286.17/32,575.68
  6. Step 6: Final answer
    x = 15,586.27

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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.