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Finding the Fourth Proportional to 54,999, 75,918.30 and 32,643

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Solution

The fourth proportional to 54,999, 75,918.30 and 32,643 is: 45,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999 : 75,918.30 = 32,643 : x
  2. Step 2: Convert to fraction form
    54,999/75,918.30 = 32,643/x
  3. Step 3: Cross multiply
    54,999x = 75,918.30 × 32,643
  4. Step 4: Simplify right side
    54,999x = 2,478,201,066.90
  5. Step 5: Solve for x
    x = 2,478,201,066.90/54,999
  6. Step 6: Final answer
    x = 45,059.02

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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.