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Finding the Fourth Proportional to 47,468.84, 65,499.28 and 26,244

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Solution

The fourth proportional to 47,468.84, 65,499.28 and 26,244 is: 36,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,468.84 : 65,499.28 = 26,244 : x
  2. Step 2: Convert to fraction form
    47,468.84/65,499.28 = 26,244/x
  3. Step 3: Cross multiply
    47,468.84x = 65,499.28 × 26,244
  4. Step 4: Simplify right side
    47,468.84x = 1,718,963,186.33
  5. Step 5: Solve for x
    x = 1,718,963,186.33/47,468.84
  6. Step 6: Final answer
    x = 36,212.46

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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.