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Finding the Fourth Proportional to 84,169, 116,155.74 and 46,445.68

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Solution

The fourth proportional to 84,169, 116,155.74 and 46,445.68 is: 64,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169 : 116,155.74 = 46,445.68 : x
  2. Step 2: Convert to fraction form
    84,169/116,155.74 = 46,445.68/x
  3. Step 3: Cross multiply
    84,169x = 116,155.74 × 46,445.68
  4. Step 4: Simplify right side
    84,169x = 5,394,932,330.20
  5. Step 5: Solve for x
    x = 5,394,932,330.20/84,169
  6. Step 6: Final answer
    x = 64,096.43

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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.