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Finding the Fourth Proportional to 46,821.77, 70,230.79 and 25,803.48

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Solution

The fourth proportional to 46,821.77, 70,230.79 and 25,803.48 is: 38,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,821.77 : 70,230.79 = 25,803.48 : x
  2. Step 2: Convert to fraction form
    46,821.77/70,230.79 = 25,803.48/x
  3. Step 3: Cross multiply
    46,821.77x = 70,230.79 × 25,803.48
  4. Step 4: Simplify right side
    46,821.77x = 1,812,198,785.15
  5. Step 5: Solve for x
    x = 1,812,198,785.15/46,821.77
  6. Step 6: Final answer
    x = 38,704.19

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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.