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Finding the Fourth Proportional to 48,495.42, 72,734.90 and 13,426.88

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Solution

The fourth proportional to 48,495.42, 72,734.90 and 13,426.88 is: 20,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,495.42 : 72,734.90 = 13,426.88 : x
  2. Step 2: Convert to fraction form
    48,495.42/72,734.90 = 13,426.88/x
  3. Step 3: Cross multiply
    48,495.42x = 72,734.90 × 13,426.88
  4. Step 4: Simplify right side
    48,495.42x = 976,602,343.30
  5. Step 5: Solve for x
    x = 976,602,343.30/48,495.42
  6. Step 6: Final answer
    x = 20,138.03

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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.