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Finding the Fourth Proportional to 55,164.08, 76,103.88 and 38,406.80

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Solution

The fourth proportional to 55,164.08, 76,103.88 and 38,406.80 is: 52,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,164.08 : 76,103.88 = 38,406.80 : x
  2. Step 2: Convert to fraction form
    55,164.08/76,103.88 = 38,406.80/x
  3. Step 3: Cross multiply
    55,164.08x = 76,103.88 × 38,406.80
  4. Step 4: Simplify right side
    55,164.08x = 2,922,906,498.38
  5. Step 5: Solve for x
    x = 2,922,906,498.38/55,164.08
  6. Step 6: Final answer
    x = 52,985.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.