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Finding the Fourth Proportional to 83,894.48, 115,775.20 and 46,169.60

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Solution

The fourth proportional to 83,894.48, 115,775.20 and 46,169.60 is: 63,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.48 : 115,775.20 = 46,169.60 : x
  2. Step 2: Convert to fraction form
    83,894.48/115,775.20 = 46,169.60/x
  3. Step 3: Cross multiply
    83,894.48x = 115,775.20 × 46,169.60
  4. Step 4: Simplify right side
    83,894.48x = 5,345,294,673.92
  5. Step 5: Solve for x
    x = 5,345,294,673.92/83,894.48
  6. Step 6: Final answer
    x = 63,714.50

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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.