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Finding the Fourth Proportional to 84,713.24, 116,905.16 and 46,472.86

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Solution

The fourth proportional to 84,713.24, 116,905.16 and 46,472.86 is: 64,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,713.24 : 116,905.16 = 46,472.86 : x
  2. Step 2: Convert to fraction form
    84,713.24/116,905.16 = 46,472.86/x
  3. Step 3: Cross multiply
    84,713.24x = 116,905.16 × 46,472.86
  4. Step 4: Simplify right side
    84,713.24x = 5,432,916,609.33
  5. Step 5: Solve for x
    x = 5,432,916,609.33/84,713.24
  6. Step 6: Final answer
    x = 64,133.03

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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.