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Finding the Fourth Proportional to 82,913.48, 114,388.06 and 51,027.02

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Solution

The fourth proportional to 82,913.48, 114,388.06 and 51,027.02 is: 70,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,913.48 : 114,388.06 = 51,027.02 : x
  2. Step 2: Convert to fraction form
    82,913.48/114,388.06 = 51,027.02/x
  3. Step 3: Cross multiply
    82,913.48x = 114,388.06 × 51,027.02
  4. Step 4: Simplify right side
    82,913.48x = 5,836,881,825.38
  5. Step 5: Solve for x
    x = 5,836,881,825.38/82,913.48
  6. Step 6: Final answer
    x = 70,397.26

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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.