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Finding the Fourth Proportional to 47,076.48, 64,965.48 and 25,857.11

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Solution

The fourth proportional to 47,076.48, 64,965.48 and 25,857.11 is: 35,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076.48 : 64,965.48 = 25,857.11 : x
  2. Step 2: Convert to fraction form
    47,076.48/64,965.48 = 25,857.11/x
  3. Step 3: Cross multiply
    47,076.48x = 64,965.48 × 25,857.11
  4. Step 4: Simplify right side
    47,076.48x = 1,679,819,237.74
  5. Step 5: Solve for x
    x = 1,679,819,237.74/47,076.48
  6. Step 6: Final answer
    x = 35,682.77

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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.