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Finding the Fourth Proportional to 47,344, 70,978.56 and 23,639.36

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Solution

The fourth proportional to 47,344, 70,978.56 and 23,639.36 is: 35,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344 : 70,978.56 = 23,639.36 : x
  2. Step 2: Convert to fraction form
    47,344/70,978.56 = 23,639.36/x
  3. Step 3: Cross multiply
    47,344x = 70,978.56 × 23,639.36
  4. Step 4: Simplify right side
    47,344x = 1,677,887,732.12
  5. Step 5: Solve for x
    x = 1,677,887,732.12/47,344
  6. Step 6: Final answer
    x = 35,440.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.