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Finding the Fourth Proportional to 84,596.72, 116,747.64 and 46,871.12

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Solution

The fourth proportional to 84,596.72, 116,747.64 and 46,871.12 is: 64,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,596.72 : 116,747.64 = 46,871.12 : x
  2. Step 2: Convert to fraction form
    84,596.72/116,747.64 = 46,871.12/x
  3. Step 3: Cross multiply
    84,596.72x = 116,747.64 × 46,871.12
  4. Step 4: Simplify right side
    84,596.72x = 5,472,092,644.16
  5. Step 5: Solve for x
    x = 5,472,092,644.16/84,596.72
  6. Step 6: Final answer
    x = 64,684.45

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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.