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Finding the Fourth Proportional to 48,016.53, 71,678.25 and 45,859.77

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Solution

The fourth proportional to 48,016.53, 71,678.25 and 45,859.77 is: 68,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,016.53 : 71,678.25 = 45,859.77 : x
  2. Step 2: Convert to fraction form
    48,016.53/71,678.25 = 45,859.77/x
  3. Step 3: Cross multiply
    48,016.53x = 71,678.25 × 45,859.77
  4. Step 4: Simplify right side
    48,016.53x = 3,287,148,059.00
  5. Step 5: Solve for x
    x = 3,287,148,059.00/48,016.53
  6. Step 6: Final answer
    x = 68,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.