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Finding the Fourth Proportional to 48,469.60, 72,704.40 and 35,106.40

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Solution

The fourth proportional to 48,469.60, 72,704.40 and 35,106.40 is: 52,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469.60 : 72,704.40 = 35,106.40 : x
  2. Step 2: Convert to fraction form
    48,469.60/72,704.40 = 35,106.40/x
  3. Step 3: Cross multiply
    48,469.60x = 72,704.40 × 35,106.40
  4. Step 4: Simplify right side
    48,469.60x = 2,552,389,748.16
  5. Step 5: Solve for x
    x = 2,552,389,748.16/48,469.60
  6. Step 6: Final answer
    x = 52,659.60

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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.