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Finding the Fourth Proportional to 82,822.28, 114,265.64 and 54,158.72

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Solution

The fourth proportional to 82,822.28, 114,265.64 and 54,158.72 is: 74,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,822.28 : 114,265.64 = 54,158.72 : x
  2. Step 2: Convert to fraction form
    82,822.28/114,265.64 = 54,158.72/x
  3. Step 3: Cross multiply
    82,822.28x = 114,265.64 × 54,158.72
  4. Step 4: Simplify right side
    82,822.28x = 6,188,480,802.38
  5. Step 5: Solve for x
    x = 6,188,480,802.38/82,822.28
  6. Step 6: Final answer
    x = 74,720.00

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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.