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Finding the Fourth Proportional to 47,868, 66,059.36 and 29,957.28

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Solution

The fourth proportional to 47,868, 66,059.36 and 29,957.28 is: 41,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868 : 66,059.36 = 29,957.28 : x
  2. Step 2: Convert to fraction form
    47,868/66,059.36 = 29,957.28/x
  3. Step 3: Cross multiply
    47,868x = 66,059.36 × 29,957.28
  4. Step 4: Simplify right side
    47,868x = 1,978,958,744.14
  5. Step 5: Solve for x
    x = 1,978,958,744.14/47,868
  6. Step 6: Final answer
    x = 41,342.00

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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.