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Finding the Fourth Proportional to 65,293.02, 97,899.03 and 30,187.62

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Solution

The fourth proportional to 65,293.02, 97,899.03 and 30,187.62 is: 45,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.02 : 97,899.03 = 30,187.62 : x
  2. Step 2: Convert to fraction form
    65,293.02/97,899.03 = 30,187.62/x
  3. Step 3: Cross multiply
    65,293.02x = 97,899.03 × 30,187.62
  4. Step 4: Simplify right side
    65,293.02x = 2,955,338,716.01
  5. Step 5: Solve for x
    x = 2,955,338,716.01/65,293.02
  6. Step 6: Final answer
    x = 45,262.71

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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.