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Finding the Fourth Proportional to 32,010.72, 48,014.26 and 9,824.06

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Solution

The fourth proportional to 32,010.72, 48,014.26 and 9,824.06 is: 14,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.72 : 48,014.26 = 9,824.06 : x
  2. Step 2: Convert to fraction form
    32,010.72/48,014.26 = 9,824.06/x
  3. Step 3: Cross multiply
    32,010.72x = 48,014.26 × 9,824.06
  4. Step 4: Simplify right side
    32,010.72x = 471,695,066.57
  5. Step 5: Solve for x
    x = 471,695,066.57/32,010.72
  6. Step 6: Final answer
    x = 14,735.54

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1.5x scale

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.