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Finding the Fourth Proportional to 82,915.88, 114,424.30 and 47,107.86

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Solution

The fourth proportional to 82,915.88, 114,424.30 and 47,107.86 is: 65,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.88 : 114,424.30 = 47,107.86 : x
  2. Step 2: Convert to fraction form
    82,915.88/114,424.30 = 47,107.86/x
  3. Step 3: Cross multiply
    82,915.88x = 114,424.30 × 47,107.86
  4. Step 4: Simplify right side
    82,915.88x = 5,390,283,905.00
  5. Step 5: Solve for x
    x = 5,390,283,905.00/82,915.88
  6. Step 6: Final answer
    x = 65,009.07

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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.