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Finding the Fourth Proportional to 65,270.60, 97,829.10 and 34,089.80

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Solution

The fourth proportional to 65,270.60, 97,829.10 and 34,089.80 is: 51,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,270.60 : 97,829.10 = 34,089.80 : x
  2. Step 2: Convert to fraction form
    65,270.60/97,829.10 = 34,089.80/x
  3. Step 3: Cross multiply
    65,270.60x = 97,829.10 × 34,089.80
  4. Step 4: Simplify right side
    65,270.60x = 3,334,974,453.18
  5. Step 5: Solve for x
    x = 3,334,974,453.18/65,270.60
  6. Step 6: Final answer
    x = 51,094.59

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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.