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Finding the Fourth Proportional to 94,093.60, 141,095.04 and 54,662

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Solution

The fourth proportional to 94,093.60, 141,095.04 and 54,662 is: 81,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,093.60 : 141,095.04 = 54,662 : x
  2. Step 2: Convert to fraction form
    94,093.60/141,095.04 = 54,662/x
  3. Step 3: Cross multiply
    94,093.60x = 141,095.04 × 54,662
  4. Step 4: Simplify right side
    94,093.60x = 7,712,537,076.48
  5. Step 5: Solve for x
    x = 7,712,537,076.48/94,093.60
  6. Step 6: Final answer
    x = 81,966.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.