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Finding the Fourth Proportional to 48,707.66, 73,055.77 and 13,650.14

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Solution

The fourth proportional to 48,707.66, 73,055.77 and 13,650.14 is: 20,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,707.66 : 73,055.77 = 13,650.14 : x
  2. Step 2: Convert to fraction form
    48,707.66/73,055.77 = 13,650.14/x
  3. Step 3: Cross multiply
    48,707.66x = 73,055.77 × 13,650.14
  4. Step 4: Simplify right side
    48,707.66x = 997,221,488.31
  5. Step 5: Solve for x
    x = 997,221,488.31/48,707.66
  6. Step 6: Final answer
    x = 20,473.61

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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.