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Finding the Fourth Proportional to 65,234.60, 97,851.90 and 34,065.80

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Solution

The fourth proportional to 65,234.60, 97,851.90 and 34,065.80 is: 51,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.60 : 97,851.90 = 34,065.80 : x
  2. Step 2: Convert to fraction form
    65,234.60/97,851.90 = 34,065.80/x
  3. Step 3: Cross multiply
    65,234.60x = 97,851.90 × 34,065.80
  4. Step 4: Simplify right side
    65,234.60x = 3,333,403,255.02
  5. Step 5: Solve for x
    x = 3,333,403,255.02/65,234.60
  6. Step 6: Final answer
    x = 51,098.70

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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.