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Finding the Fourth Proportional to 65,850.52, 98,752.09 and 28,394.50

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Solution

The fourth proportional to 65,850.52, 98,752.09 and 28,394.50 is: 42,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850.52 : 98,752.09 = 28,394.50 : x
  2. Step 2: Convert to fraction form
    65,850.52/98,752.09 = 28,394.50/x
  3. Step 3: Cross multiply
    65,850.52x = 98,752.09 × 28,394.50
  4. Step 4: Simplify right side
    65,850.52x = 2,804,016,219.51
  5. Step 5: Solve for x
    x = 2,804,016,219.51/65,850.52
  6. Step 6: Final answer
    x = 42,581.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.