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Finding the Fourth Proportional to 44,241.60, 66,381.84 and 23,460

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Solution

The fourth proportional to 44,241.60, 66,381.84 and 23,460 is: 35,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,241.60 : 66,381.84 = 23,460 : x
  2. Step 2: Convert to fraction form
    44,241.60/66,381.84 = 23,460/x
  3. Step 3: Cross multiply
    44,241.60x = 66,381.84 × 23,460
  4. Step 4: Simplify right side
    44,241.60x = 1,557,317,966.40
  5. Step 5: Solve for x
    x = 1,557,317,966.40/44,241.60
  6. Step 6: Final answer
    x = 35,200.31

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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.