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Finding the Fourth Proportional to 82,673.78, 114,114.10 and 53,997.83

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Solution

The fourth proportional to 82,673.78, 114,114.10 and 53,997.83 is: 74,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,673.78 : 114,114.10 = 53,997.83 : x
  2. Step 2: Convert to fraction form
    82,673.78/114,114.10 = 53,997.83/x
  3. Step 3: Cross multiply
    82,673.78x = 114,114.10 × 53,997.83
  4. Step 4: Simplify right side
    82,673.78x = 6,161,913,772.40
  5. Step 5: Solve for x
    x = 6,161,913,772.40/82,673.78
  6. Step 6: Final answer
    x = 74,532.87

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1.5x scale

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.