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Finding the Fourth Proportional to 48,735.60, 73,103.40 and 32,114.40

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Solution

The fourth proportional to 48,735.60, 73,103.40 and 32,114.40 is: 48,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,735.60 : 73,103.40 = 32,114.40 : x
  2. Step 2: Convert to fraction form
    48,735.60/73,103.40 = 32,114.40/x
  3. Step 3: Cross multiply
    48,735.60x = 73,103.40 × 32,114.40
  4. Step 4: Simplify right side
    48,735.60x = 2,347,671,828.96
  5. Step 5: Solve for x
    x = 2,347,671,828.96/48,735.60
  6. Step 6: Final answer
    x = 48,171.60

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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.