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Finding the Fourth Proportional to 65,173.50, 97,543.27 and 49,291.02

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Solution

The fourth proportional to 65,173.50, 97,543.27 and 49,291.02 is: 73,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.50 : 97,543.27 = 49,291.02 : x
  2. Step 2: Convert to fraction form
    65,173.50/97,543.27 = 49,291.02/x
  3. Step 3: Cross multiply
    65,173.50x = 97,543.27 × 49,291.02
  4. Step 4: Simplify right side
    65,173.50x = 4,808,007,334.05
  5. Step 5: Solve for x
    x = 4,808,007,334.05/65,173.50
  6. Step 6: Final answer
    x = 73,772.43

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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.