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Finding the Fourth Proportional to 54,653.81, 75,395.53 and 47,087

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Solution

The fourth proportional to 54,653.81, 75,395.53 and 47,087 is: 64,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,653.81 : 75,395.53 = 47,087 : x
  2. Step 2: Convert to fraction form
    54,653.81/75,395.53 = 47,087/x
  3. Step 3: Cross multiply
    54,653.81x = 75,395.53 × 47,087
  4. Step 4: Simplify right side
    54,653.81x = 3,550,149,321.11
  5. Step 5: Solve for x
    x = 3,550,149,321.11/54,653.81
  6. Step 6: Final answer
    x = 64,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.