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Finding the Fourth Proportional to 48,804.14, 73,207.84 and 13,742.76

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Solution

The fourth proportional to 48,804.14, 73,207.84 and 13,742.76 is: 20,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,804.14 : 73,207.84 = 13,742.76 : x
  2. Step 2: Convert to fraction form
    48,804.14/73,207.84 = 13,742.76/x
  3. Step 3: Cross multiply
    48,804.14x = 73,207.84 × 13,742.76
  4. Step 4: Simplify right side
    48,804.14x = 1,006,077,775.24
  5. Step 5: Solve for x
    x = 1,006,077,775.24/48,804.14
  6. Step 6: Final answer
    x = 20,614.60

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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.