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Finding the Fourth Proportional to 82,744.64, 114,188.10 and 45,019.16

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Solution

The fourth proportional to 82,744.64, 114,188.10 and 45,019.16 is: 62,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744.64 : 114,188.10 = 45,019.16 : x
  2. Step 2: Convert to fraction form
    82,744.64/114,188.10 = 45,019.16/x
  3. Step 3: Cross multiply
    82,744.64x = 114,188.10 × 45,019.16
  4. Step 4: Simplify right side
    82,744.64x = 5,140,652,344.00
  5. Step 5: Solve for x
    x = 5,140,652,344.00/82,744.64
  6. Step 6: Final answer
    x = 62,126.71

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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.