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Finding the Fourth Proportional to 82,915.38, 114,426.30 and 47,111.46

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Solution

The fourth proportional to 82,915.38, 114,426.30 and 47,111.46 is: 65,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.38 : 114,426.30 = 47,111.46 : x
  2. Step 2: Convert to fraction form
    82,915.38/114,426.30 = 47,111.46/x
  3. Step 3: Cross multiply
    82,915.38x = 114,426.30 × 47,111.46
  4. Step 4: Simplify right side
    82,915.38x = 5,390,789,802.97
  5. Step 5: Solve for x
    x = 5,390,789,802.97/82,915.38
  6. Step 6: Final answer
    x = 65,015.56

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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.