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Finding the Fourth Proportional to 97,233.20, 145,914.60 and 44,615.60

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Solution

The fourth proportional to 97,233.20, 145,914.60 and 44,615.60 is: 66,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,233.20 : 145,914.60 = 44,615.60 : x
  2. Step 2: Convert to fraction form
    97,233.20/145,914.60 = 44,615.60/x
  3. Step 3: Cross multiply
    97,233.20x = 145,914.60 × 44,615.60
  4. Step 4: Simplify right side
    97,233.20x = 6,510,067,427.76
  5. Step 5: Solve for x
    x = 6,510,067,427.76/97,233.20
  6. Step 6: Final answer
    x = 66,953.13

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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.