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Finding the Fourth Proportional to 82,877.78, 114,368.29 and 50,666.38

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Solution

The fourth proportional to 82,877.78, 114,368.29 and 50,666.38 is: 69,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,877.78 : 114,368.29 = 50,666.38 : x
  2. Step 2: Convert to fraction form
    82,877.78/114,368.29 = 50,666.38/x
  3. Step 3: Cross multiply
    82,877.78x = 114,368.29 × 50,666.38
  4. Step 4: Simplify right side
    82,877.78x = 5,794,626,828.50
  5. Step 5: Solve for x
    x = 5,794,626,828.50/82,877.78
  6. Step 6: Final answer
    x = 69,917.73

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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.