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Finding the Fourth Proportional to 84,735.72, 116,931.33 and 46,494.41

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Solution

The fourth proportional to 84,735.72, 116,931.33 and 46,494.41 is: 64,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,735.72 : 116,931.33 = 46,494.41 : x
  2. Step 2: Convert to fraction form
    84,735.72/116,931.33 = 46,494.41/x
  3. Step 3: Cross multiply
    84,735.72x = 116,931.33 × 46,494.41
  4. Step 4: Simplify right side
    84,735.72x = 5,436,652,614.21
  5. Step 5: Solve for x
    x = 5,436,652,614.21/84,735.72
  6. Step 6: Final answer
    x = 64,160.10

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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.