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Finding the Fourth Proportional to 85,422.72, 117,852.12 and 53,580

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Solution

The fourth proportional to 85,422.72, 117,852.12 and 53,580 is: 73,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,422.72 : 117,852.12 = 53,580 : x
  2. Step 2: Convert to fraction form
    85,422.72/117,852.12 = 53,580/x
  3. Step 3: Cross multiply
    85,422.72x = 117,852.12 × 53,580
  4. Step 4: Simplify right side
    85,422.72x = 6,314,516,589.60
  5. Step 5: Solve for x
    x = 6,314,516,589.60/85,422.72
  6. Step 6: Final answer
    x = 73,920.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.