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Finding the Fourth Proportional to 65,233.80, 97,785.90 and 31,926.60

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Solution

The fourth proportional to 65,233.80, 97,785.90 and 31,926.60 is: 47,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.80 : 97,785.90 = 31,926.60 : x
  2. Step 2: Convert to fraction form
    65,233.80/97,785.90 = 31,926.60/x
  3. Step 3: Cross multiply
    65,233.80x = 97,785.90 × 31,926.60
  4. Step 4: Simplify right side
    65,233.80x = 3,121,971,314.94
  5. Step 5: Solve for x
    x = 3,121,971,314.94/65,233.80
  6. Step 6: Final answer
    x = 47,858.19

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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.