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Finding the Fourth Proportional to 75,632.72, 104,371.68 and 47,354

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Solution

The fourth proportional to 75,632.72, 104,371.68 and 47,354 is: 65,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,632.72 : 104,371.68 = 47,354 : x
  2. Step 2: Convert to fraction form
    75,632.72/104,371.68 = 47,354/x
  3. Step 3: Cross multiply
    75,632.72x = 104,371.68 × 47,354
  4. Step 4: Simplify right side
    75,632.72x = 4,942,416,534.72
  5. Step 5: Solve for x
    x = 4,942,416,534.72/75,632.72
  6. Step 6: Final answer
    x = 65,347.60

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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.