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Finding the Fourth Proportional to 54,592.84, 75,337.32 and 30,717.64

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Solution

The fourth proportional to 54,592.84, 75,337.32 and 30,717.64 is: 42,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,592.84 : 75,337.32 = 30,717.64 : x
  2. Step 2: Convert to fraction form
    54,592.84/75,337.32 = 30,717.64/x
  3. Step 3: Cross multiply
    54,592.84x = 75,337.32 × 30,717.64
  4. Step 4: Simplify right side
    54,592.84x = 2,314,184,674.32
  5. Step 5: Solve for x
    x = 2,314,184,674.32/54,592.84
  6. Step 6: Final answer
    x = 42,389.89

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