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Finding the Fourth Proportional to 81,894.52, 113,014.26 and 46,084.60

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Solution

The fourth proportional to 81,894.52, 113,014.26 and 46,084.60 is: 63,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894.52 : 113,014.26 = 46,084.60 : x
  2. Step 2: Convert to fraction form
    81,894.52/113,014.26 = 46,084.60/x
  3. Step 3: Cross multiply
    81,894.52x = 113,014.26 × 46,084.60
  4. Step 4: Simplify right side
    81,894.52x = 5,208,216,966.40
  5. Step 5: Solve for x
    x = 5,208,216,966.40/81,894.52
  6. Step 6: Final answer
    x = 63,596.65

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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.