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Finding the Fourth Proportional to 84,531.72, 116,660.34 and 46,809.48

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Solution

The fourth proportional to 84,531.72, 116,660.34 and 46,809.48 is: 64,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,531.72 : 116,660.34 = 46,809.48 : x
  2. Step 2: Convert to fraction form
    84,531.72/116,660.34 = 46,809.48/x
  3. Step 3: Cross multiply
    84,531.72x = 116,660.34 × 46,809.48
  4. Step 4: Simplify right side
    84,531.72x = 5,460,809,852.02
  5. Step 5: Solve for x
    x = 5,460,809,852.02/84,531.72
  6. Step 6: Final answer
    x = 64,600.72

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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.