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Finding the Fourth Proportional to 55,277.10, 82,927.80 and 17,830.80

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Solution

The fourth proportional to 55,277.10, 82,927.80 and 17,830.80 is: 26,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,277.10 : 82,927.80 = 17,830.80 : x
  2. Step 2: Convert to fraction form
    55,277.10/82,927.80 = 17,830.80/x
  3. Step 3: Cross multiply
    55,277.10x = 82,927.80 × 17,830.80
  4. Step 4: Simplify right side
    55,277.10x = 1,478,669,016.24
  5. Step 5: Solve for x
    x = 1,478,669,016.24/55,277.10
  6. Step 6: Final answer
    x = 26,750.12

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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.