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Finding the Fourth Proportional to 97,247.67, 145,871.54 and 30,694.53

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Solution

The fourth proportional to 97,247.67, 145,871.54 and 30,694.53 is: 46,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,247.67 : 145,871.54 = 30,694.53 : x
  2. Step 2: Convert to fraction form
    97,247.67/145,871.54 = 30,694.53/x
  3. Step 3: Cross multiply
    97,247.67x = 145,871.54 × 30,694.53
  4. Step 4: Simplify right side
    97,247.67x = 4,477,458,207.20
  5. Step 5: Solve for x
    x = 4,477,458,207.20/97,247.67
  6. Step 6: Final answer
    x = 46,041.80

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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.