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Finding the Fourth Proportional to 78,064.81, 117,113.42 and 31,321.33

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Solution

The fourth proportional to 78,064.81, 117,113.42 and 31,321.33 is: 46,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064.81 : 117,113.42 = 31,321.33 : x
  2. Step 2: Convert to fraction form
    78,064.81/117,113.42 = 31,321.33/x
  3. Step 3: Cross multiply
    78,064.81x = 117,113.42 × 31,321.33
  4. Step 4: Simplify right side
    78,064.81x = 3,668,147,918.64
  5. Step 5: Solve for x
    x = 3,668,147,918.64/78,064.81
  6. Step 6: Final answer
    x = 46,988.49

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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.