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Finding the Fourth Proportional to 47,056, 64,937.28 and 27,184

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Solution

The fourth proportional to 47,056, 64,937.28 and 27,184 is: 37,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056 : 64,937.28 = 27,184 : x
  2. Step 2: Convert to fraction form
    47,056/64,937.28 = 27,184/x
  3. Step 3: Cross multiply
    47,056x = 64,937.28 × 27,184
  4. Step 4: Simplify right side
    47,056x = 1,765,255,019.52
  5. Step 5: Solve for x
    x = 1,765,255,019.52/47,056
  6. Step 6: Final answer
    x = 37,513.92

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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.