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Finding the Fourth Proportional to 64,760.96, 89,374.74 and 36,083

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Solution

The fourth proportional to 64,760.96, 89,374.74 and 36,083 is: 49,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,760.96 : 89,374.74 = 36,083 : x
  2. Step 2: Convert to fraction form
    64,760.96/89,374.74 = 36,083/x
  3. Step 3: Cross multiply
    64,760.96x = 89,374.74 × 36,083
  4. Step 4: Simplify right side
    64,760.96x = 3,224,908,743.42
  5. Step 5: Solve for x
    x = 3,224,908,743.42/64,760.96
  6. Step 6: Final answer
    x = 49,797.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.