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Finding the Fourth Proportional to 32,445, 48,667.50 and 9,072.45

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Solution

The fourth proportional to 32,445, 48,667.50 and 9,072.45 is: 13,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445 : 48,667.50 = 9,072.45 : x
  2. Step 2: Convert to fraction form
    32,445/48,667.50 = 9,072.45/x
  3. Step 3: Cross multiply
    32,445x = 48,667.50 × 9,072.45
  4. Step 4: Simplify right side
    32,445x = 441,533,460.38
  5. Step 5: Solve for x
    x = 441,533,460.38/32,445
  6. Step 6: Final answer
    x = 13,608.68

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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.