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Finding the Fourth Proportional to 48,243.84, 72,694.38 and 39,670.80

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Solution

The fourth proportional to 48,243.84, 72,694.38 and 39,670.80 is: 59,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,243.84 : 72,694.38 = 39,670.80 : x
  2. Step 2: Convert to fraction form
    48,243.84/72,694.38 = 39,670.80/x
  3. Step 3: Cross multiply
    48,243.84x = 72,694.38 × 39,670.80
  4. Step 4: Simplify right side
    48,243.84x = 2,883,844,210.10
  5. Step 5: Solve for x
    x = 2,883,844,210.10/48,243.84
  6. Step 6: Final answer
    x = 59,776.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.