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Finding the Fourth Proportional to 48,645.28, 72,967.94 and 11,709.28

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Solution

The fourth proportional to 48,645.28, 72,967.94 and 11,709.28 is: 17,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.28 : 72,967.94 = 11,709.28 : x
  2. Step 2: Convert to fraction form
    48,645.28/72,967.94 = 11,709.28/x
  3. Step 3: Cross multiply
    48,645.28x = 72,967.94 × 11,709.28
  4. Step 4: Simplify right side
    48,645.28x = 854,402,040.48
  5. Step 5: Solve for x
    x = 854,402,040.48/48,645.28
  6. Step 6: Final answer
    x = 17,563.92

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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.