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Finding the Fourth Proportional to 55,490.76, 83,238.54 and 16,051.86

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Solution

The fourth proportional to 55,490.76, 83,238.54 and 16,051.86 is: 24,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490.76 : 83,238.54 = 16,051.86 : x
  2. Step 2: Convert to fraction form
    55,490.76/83,238.54 = 16,051.86/x
  3. Step 3: Cross multiply
    55,490.76x = 83,238.54 × 16,051.86
  4. Step 4: Simplify right side
    55,490.76x = 1,336,133,390.68
  5. Step 5: Solve for x
    x = 1,336,133,390.68/55,490.76
  6. Step 6: Final answer
    x = 24,078.48

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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.