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Finding the Fourth Proportional to 76,362.34, 114,599.01 and 57,665.50

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Solution

The fourth proportional to 76,362.34, 114,599.01 and 57,665.50 is: 86,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.34 : 114,599.01 = 57,665.50 : x
  2. Step 2: Convert to fraction form
    76,362.34/114,599.01 = 57,665.50/x
  3. Step 3: Cross multiply
    76,362.34x = 114,599.01 × 57,665.50
  4. Step 4: Simplify right side
    76,362.34x = 6,608,409,211.16
  5. Step 5: Solve for x
    x = 6,608,409,211.16/76,362.34
  6. Step 6: Final answer
    x = 86,540.16

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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.