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Finding the Fourth Proportional to 48,827.60, 73,241.40 and 46,408.40

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Solution

The fourth proportional to 48,827.60, 73,241.40 and 46,408.40 is: 69,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827.60 : 73,241.40 = 46,408.40 : x
  2. Step 2: Convert to fraction form
    48,827.60/73,241.40 = 46,408.40/x
  3. Step 3: Cross multiply
    48,827.60x = 73,241.40 × 46,408.40
  4. Step 4: Simplify right side
    48,827.60x = 3,399,016,187.76
  5. Step 5: Solve for x
    x = 3,399,016,187.76/48,827.60
  6. Step 6: Final answer
    x = 69,612.60

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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.