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Finding the Fourth Proportional to 32,614.61, 48,921.92 and 9,241.05

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Solution

The fourth proportional to 32,614.61, 48,921.92 and 9,241.05 is: 13,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.61 : 48,921.92 = 9,241.05 : x
  2. Step 2: Convert to fraction form
    32,614.61/48,921.92 = 9,241.05/x
  3. Step 3: Cross multiply
    32,614.61x = 48,921.92 × 9,241.05
  4. Step 4: Simplify right side
    32,614.61x = 452,089,862.61
  5. Step 5: Solve for x
    x = 452,089,862.61/32,614.61
  6. Step 6: Final answer
    x = 13,861.58

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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.