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Finding the Fourth Proportional to 47,031.52, 64,893.36 and 27,148

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Solution

The fourth proportional to 47,031.52, 64,893.36 and 27,148 is: 37,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,031.52 : 64,893.36 = 27,148 : x
  2. Step 2: Convert to fraction form
    47,031.52/64,893.36 = 27,148/x
  3. Step 3: Cross multiply
    47,031.52x = 64,893.36 × 27,148
  4. Step 4: Simplify right side
    47,031.52x = 1,761,724,937.28
  5. Step 5: Solve for x
    x = 1,761,724,937.28/47,031.52
  6. Step 6: Final answer
    x = 37,458.39

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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.