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Finding the Fourth Proportional to 65,213.52, 97,532.78 and 56,770.80

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Solution

The fourth proportional to 65,213.52, 97,532.78 and 56,770.80 is: 84,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.52 : 97,532.78 = 56,770.80 : x
  2. Step 2: Convert to fraction form
    65,213.52/97,532.78 = 56,770.80/x
  3. Step 3: Cross multiply
    65,213.52x = 97,532.78 × 56,770.80
  4. Step 4: Simplify right side
    65,213.52x = 5,537,013,662.97
  5. Step 5: Solve for x
    x = 5,537,013,662.97/65,213.52
  6. Step 6: Final answer
    x = 84,905.92

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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.