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Finding the Fourth Proportional to 65,114.80, 97,704.60 and 37,056.40

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Solution

The fourth proportional to 65,114.80, 97,704.60 and 37,056.40 is: 55,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.80 : 97,704.60 = 37,056.40 : x
  2. Step 2: Convert to fraction form
    65,114.80/97,704.60 = 37,056.40/x
  3. Step 3: Cross multiply
    65,114.80x = 97,704.60 × 37,056.40
  4. Step 4: Simplify right side
    65,114.80x = 3,620,580,739.44
  5. Step 5: Solve for x
    x = 3,620,580,739.44/65,114.80
  6. Step 6: Final answer
    x = 55,603.04

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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.