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Finding the Fourth Proportional to 55,783.32, 83,668.86 and 16,340.82

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Solution

The fourth proportional to 55,783.32, 83,668.86 and 16,340.82 is: 24,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,783.32 : 83,668.86 = 16,340.82 : x
  2. Step 2: Convert to fraction form
    55,783.32/83,668.86 = 16,340.82/x
  3. Step 3: Cross multiply
    55,783.32x = 83,668.86 × 16,340.82
  4. Step 4: Simplify right side
    55,783.32x = 1,367,217,780.87
  5. Step 5: Solve for x
    x = 1,367,217,780.87/55,783.32
  6. Step 6: Final answer
    x = 24,509.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.