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Finding the Fourth Proportional to 54,852.48, 75,693.36 and 30,984

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Solution

The fourth proportional to 54,852.48, 75,693.36 and 30,984 is: 42,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,852.48 : 75,693.36 = 30,984 : x
  2. Step 2: Convert to fraction form
    54,852.48/75,693.36 = 30,984/x
  3. Step 3: Cross multiply
    54,852.48x = 75,693.36 × 30,984
  4. Step 4: Simplify right side
    54,852.48x = 2,345,283,066.24
  5. Step 5: Solve for x
    x = 2,345,283,066.24/54,852.48
  6. Step 6: Final answer
    x = 42,756.19

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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.