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Finding the Fourth Proportional to 77,549.72, 116,324.62 and 24,959.20

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Solution

The fourth proportional to 77,549.72, 116,324.62 and 24,959.20 is: 37,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,549.72 : 116,324.62 = 24,959.20 : x
  2. Step 2: Convert to fraction form
    77,549.72/116,324.62 = 24,959.20/x
  3. Step 3: Cross multiply
    77,549.72x = 116,324.62 × 24,959.20
  4. Step 4: Simplify right side
    77,549.72x = 2,903,369,455.50
  5. Step 5: Solve for x
    x = 2,903,369,455.50/77,549.72
  6. Step 6: Final answer
    x = 37,438.81

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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.