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Finding the Fourth Proportional to 32,426.56, 48,646.32 and 10,242

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Solution

The fourth proportional to 32,426.56, 48,646.32 and 10,242 is: 15,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.56 : 48,646.32 = 10,242 : x
  2. Step 2: Convert to fraction form
    32,426.56/48,646.32 = 10,242/x
  3. Step 3: Cross multiply
    32,426.56x = 48,646.32 × 10,242
  4. Step 4: Simplify right side
    32,426.56x = 498,235,609.44
  5. Step 5: Solve for x
    x = 498,235,609.44/32,426.56
  6. Step 6: Final answer
    x = 15,365.05

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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.