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Finding the Fourth Proportional to 96,785, 145,206.60 and 30,232.16

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Solution

The fourth proportional to 96,785, 145,206.60 and 30,232.16 is: 45,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,785 : 145,206.60 = 30,232.16 : x
  2. Step 2: Convert to fraction form
    96,785/145,206.60 = 30,232.16/x
  3. Step 3: Cross multiply
    96,785x = 145,206.60 × 30,232.16
  4. Step 4: Simplify right side
    96,785x = 4,389,909,164.26
  5. Step 5: Solve for x
    x = 4,389,909,164.26/96,785
  6. Step 6: Final answer
    x = 45,357.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.