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Finding the Fourth Proportional to 76,821.50, 115,233.06 and 21,417.50

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Solution

The fourth proportional to 76,821.50, 115,233.06 and 21,417.50 is: 32,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,821.50 : 115,233.06 = 21,417.50 : x
  2. Step 2: Convert to fraction form
    76,821.50/115,233.06 = 21,417.50/x
  3. Step 3: Cross multiply
    76,821.50x = 115,233.06 × 21,417.50
  4. Step 4: Simplify right side
    76,821.50x = 2,468,004,062.55
  5. Step 5: Solve for x
    x = 2,468,004,062.55/76,821.50
  6. Step 6: Final answer
    x = 32,126.48

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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.