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Finding the Fourth Proportional to 54,362.52, 74,988.42 and 34,187.40

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Solution

The fourth proportional to 54,362.52, 74,988.42 and 34,187.40 is: 47,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362.52 : 74,988.42 = 34,187.40 : x
  2. Step 2: Convert to fraction form
    54,362.52/74,988.42 = 34,187.40/x
  3. Step 3: Cross multiply
    54,362.52x = 74,988.42 × 34,187.40
  4. Step 4: Simplify right side
    54,362.52x = 2,563,659,109.91
  5. Step 5: Solve for x
    x = 2,563,659,109.91/54,362.52
  6. Step 6: Final answer
    x = 47,158.58

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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.