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Finding the Fourth Proportional to 54,606.84, 75,356.64 and 30,731.64

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Solution

The fourth proportional to 54,606.84, 75,356.64 and 30,731.64 is: 42,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,606.84 : 75,356.64 = 30,731.64 : x
  2. Step 2: Convert to fraction form
    54,606.84/75,356.64 = 30,731.64/x
  3. Step 3: Cross multiply
    54,606.84x = 75,356.64 × 30,731.64
  4. Step 4: Simplify right side
    54,606.84x = 2,315,833,132.09
  5. Step 5: Solve for x
    x = 2,315,833,132.09/54,606.84
  6. Step 6: Final answer
    x = 42,409.21

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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.