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Finding the Fourth Proportional to 78,827.64, 118,241.16 and 23,423.64

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Solution

The fourth proportional to 78,827.64, 118,241.16 and 23,423.64 is: 35,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.64 : 118,241.16 = 23,423.64 : x
  2. Step 2: Convert to fraction form
    78,827.64/118,241.16 = 23,423.64/x
  3. Step 3: Cross multiply
    78,827.64x = 118,241.16 × 23,423.64
  4. Step 4: Simplify right side
    78,827.64x = 2,769,638,365.02
  5. Step 5: Solve for x
    x = 2,769,638,365.02/78,827.64
  6. Step 6: Final answer
    x = 35,135.37

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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.