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Finding the Fourth Proportional to 76,985.56, 115,485.63 and 30,227.50

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Solution

The fourth proportional to 76,985.56, 115,485.63 and 30,227.50 is: 45,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.56 : 115,485.63 = 30,227.50 : x
  2. Step 2: Convert to fraction form
    76,985.56/115,485.63 = 30,227.50/x
  3. Step 3: Cross multiply
    76,985.56x = 115,485.63 × 30,227.50
  4. Step 4: Simplify right side
    76,985.56x = 3,490,841,880.83
  5. Step 5: Solve for x
    x = 3,490,841,880.83/76,985.56
  6. Step 6: Final answer
    x = 45,344.11

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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.