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Finding the Fourth Proportional to 84,246.56, 116,258.70 and 46,520

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Solution

The fourth proportional to 84,246.56, 116,258.70 and 46,520 is: 64,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,246.56 : 116,258.70 = 46,520 : x
  2. Step 2: Convert to fraction form
    84,246.56/116,258.70 = 46,520/x
  3. Step 3: Cross multiply
    84,246.56x = 116,258.70 × 46,520
  4. Step 4: Simplify right side
    84,246.56x = 5,408,354,724
  5. Step 5: Solve for x
    x = 5,408,354,724/84,246.56
  6. Step 6: Final answer
    x = 64,196.74

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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.