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Finding the Fourth Proportional to 84,582.92, 116,671.64 and 54,407.58

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Solution

The fourth proportional to 84,582.92, 116,671.64 and 54,407.58 is: 75,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,582.92 : 116,671.64 = 54,407.58 : x
  2. Step 2: Convert to fraction form
    84,582.92/116,671.64 = 54,407.58/x
  3. Step 3: Cross multiply
    84,582.92x = 116,671.64 × 54,407.58
  4. Step 4: Simplify right side
    84,582.92x = 6,347,821,314.99
  5. Step 5: Solve for x
    x = 6,347,821,314.99/84,582.92
  6. Step 6: Final answer
    x = 75,048.50

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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.