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Finding the Fourth Proportional to 76,463.71, 114,695.55 and 23,877.70

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Solution

The fourth proportional to 76,463.71, 114,695.55 and 23,877.70 is: 35,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,463.71 : 114,695.55 = 23,877.70 : x
  2. Step 2: Convert to fraction form
    76,463.71/114,695.55 = 23,877.70/x
  3. Step 3: Cross multiply
    76,463.71x = 114,695.55 × 23,877.70
  4. Step 4: Simplify right side
    76,463.71x = 2,738,665,647.50
  5. Step 5: Solve for x
    x = 2,738,665,647.50/76,463.71
  6. Step 6: Final answer
    x = 35,816.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.