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Finding the Fourth Proportional to 32,485.82, 48,729.01 and 11,426.02

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Solution

The fourth proportional to 32,485.82, 48,729.01 and 11,426.02 is: 17,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485.82 : 48,729.01 = 11,426.02 : x
  2. Step 2: Convert to fraction form
    32,485.82/48,729.01 = 11,426.02/x
  3. Step 3: Cross multiply
    32,485.82x = 48,729.01 × 11,426.02
  4. Step 4: Simplify right side
    32,485.82x = 556,778,493.55
  5. Step 5: Solve for x
    x = 556,778,493.55/32,485.82
  6. Step 6: Final answer
    x = 17,139.12

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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.