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Finding the Fourth Proportional to 32,412.46, 48,599.25 and 12,667.50

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Solution

The fourth proportional to 32,412.46, 48,599.25 and 12,667.50 is: 18,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.46 : 48,599.25 = 12,667.50 : x
  2. Step 2: Convert to fraction form
    32,412.46/48,599.25 = 12,667.50/x
  3. Step 3: Cross multiply
    32,412.46x = 48,599.25 × 12,667.50
  4. Step 4: Simplify right side
    32,412.46x = 615,630,999.38
  5. Step 5: Solve for x
    x = 615,630,999.38/32,412.46
  6. Step 6: Final answer
    x = 18,993.65

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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.