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Finding the Fourth Proportional to 54,547.67, 75,275.31 and 30,673.84

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Solution

The fourth proportional to 54,547.67, 75,275.31 and 30,673.84 is: 42,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,547.67 : 75,275.31 = 30,673.84 : x
  2. Step 2: Convert to fraction form
    54,547.67/75,275.31 = 30,673.84/x
  3. Step 3: Cross multiply
    54,547.67x = 75,275.31 × 30,673.84
  4. Step 4: Simplify right side
    54,547.67x = 2,308,982,438.51
  5. Step 5: Solve for x
    x = 2,308,982,438.51/54,547.67
  6. Step 6: Final answer
    x = 42,329.63

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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.