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Finding the Fourth Proportional to 48,294.36, 72,341.82 and 35,828.46

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Solution

The fourth proportional to 48,294.36, 72,341.82 and 35,828.46 is: 53,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294.36 : 72,341.82 = 35,828.46 : x
  2. Step 2: Convert to fraction form
    48,294.36/72,341.82 = 35,828.46/x
  3. Step 3: Cross multiply
    48,294.36x = 72,341.82 × 35,828.46
  4. Step 4: Simplify right side
    48,294.36x = 2,591,896,004.20
  5. Step 5: Solve for x
    x = 2,591,896,004.20/48,294.36
  6. Step 6: Final answer
    x = 53,668.71

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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.