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Finding the Fourth Proportional to 54,609.30, 75,357.63 and 30,735

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Solution

The fourth proportional to 54,609.30, 75,357.63 and 30,735 is: 42,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609.30 : 75,357.63 = 30,735 : x
  2. Step 2: Convert to fraction form
    54,609.30/75,357.63 = 30,735/x
  3. Step 3: Cross multiply
    54,609.30x = 75,357.63 × 30,735
  4. Step 4: Simplify right side
    54,609.30x = 2,316,116,758.05
  5. Step 5: Solve for x
    x = 2,316,116,758.05/54,609.30
  6. Step 6: Final answer
    x = 42,412.50

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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.