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Finding the Fourth Proportional to 70,032.18, 96,642.23 and 39,820.80

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Solution

The fourth proportional to 70,032.18, 96,642.23 and 39,820.80 is: 54,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,032.18 : 96,642.23 = 39,820.80 : x
  2. Step 2: Convert to fraction form
    70,032.18/96,642.23 = 39,820.80/x
  3. Step 3: Cross multiply
    70,032.18x = 96,642.23 × 39,820.80
  4. Step 4: Simplify right side
    70,032.18x = 3,848,370,713.28
  5. Step 5: Solve for x
    x = 3,848,370,713.28/70,032.18
  6. Step 6: Final answer
    x = 54,951.46

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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.