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Finding the Fourth Proportional to 82,913.87, 114,421.13 and 45,188.12

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Solution

The fourth proportional to 82,913.87, 114,421.13 and 45,188.12 is: 62,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,913.87 : 114,421.13 = 45,188.12 : x
  2. Step 2: Convert to fraction form
    82,913.87/114,421.13 = 45,188.12/x
  3. Step 3: Cross multiply
    82,913.87x = 114,421.13 × 45,188.12
  4. Step 4: Simplify right side
    82,913.87x = 5,170,474,954.93
  5. Step 5: Solve for x
    x = 5,170,474,954.93/82,913.87
  6. Step 6: Final answer
    x = 62,359.59

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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.