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Finding the Fourth Proportional to 55,304.36, 82,552.79 and 47,457.30

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Solution

The fourth proportional to 55,304.36, 82,552.79 and 47,457.30 is: 70,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,304.36 : 82,552.79 = 47,457.30 : x
  2. Step 2: Convert to fraction form
    55,304.36/82,552.79 = 47,457.30/x
  3. Step 3: Cross multiply
    55,304.36x = 82,552.79 × 47,457.30
  4. Step 4: Simplify right side
    55,304.36x = 3,917,732,283.58
  5. Step 5: Solve for x
    x = 3,917,732,283.58/55,304.36
  6. Step 6: Final answer
    x = 70,839.49

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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.