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Finding the Fourth Proportional to 82,553.88, 113,924.80 and 46,750.86

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Solution

The fourth proportional to 82,553.88, 113,924.80 and 46,750.86 is: 64,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553.88 : 113,924.80 = 46,750.86 : x
  2. Step 2: Convert to fraction form
    82,553.88/113,924.80 = 46,750.86/x
  3. Step 3: Cross multiply
    82,553.88x = 113,924.80 × 46,750.86
  4. Step 4: Simplify right side
    82,553.88x = 5,326,082,491.21
  5. Step 5: Solve for x
    x = 5,326,082,491.21/82,553.88
  6. Step 6: Final answer
    x = 64,516.44

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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.