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Finding the Fourth Proportional to 76,935.50, 115,403.25 and 21,531.50

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Solution

The fourth proportional to 76,935.50, 115,403.25 and 21,531.50 is: 32,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,935.50 : 115,403.25 = 21,531.50 : x
  2. Step 2: Convert to fraction form
    76,935.50/115,403.25 = 21,531.50/x
  3. Step 3: Cross multiply
    76,935.50x = 115,403.25 × 21,531.50
  4. Step 4: Simplify right side
    76,935.50x = 2,484,805,077.38
  5. Step 5: Solve for x
    x = 2,484,805,077.38/76,935.50
  6. Step 6: Final answer
    x = 32,297.25

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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.