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Finding the Fourth Proportional to 81,103.78, 111,915.52 and 47,111.34

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Solution

The fourth proportional to 81,103.78, 111,915.52 and 47,111.34 is: 65,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,103.78 : 111,915.52 = 47,111.34 : x
  2. Step 2: Convert to fraction form
    81,103.78/111,915.52 = 47,111.34/x
  3. Step 3: Cross multiply
    81,103.78x = 111,915.52 × 47,111.34
  4. Step 4: Simplify right side
    81,103.78x = 5,272,490,051.38
  5. Step 5: Solve for x
    x = 5,272,490,051.38/81,103.78
  6. Step 6: Final answer
    x = 65,009.18

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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.