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Finding the Fourth Proportional to 70,259.52, 96,958.20 and 39,633

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Solution

The fourth proportional to 70,259.52, 96,958.20 and 39,633 is: 54,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,259.52 : 96,958.20 = 39,633 : x
  2. Step 2: Convert to fraction form
    70,259.52/96,958.20 = 39,633/x
  3. Step 3: Cross multiply
    70,259.52x = 96,958.20 × 39,633
  4. Step 4: Simplify right side
    70,259.52x = 3,842,744,340.60
  5. Step 5: Solve for x
    x = 3,842,744,340.60/70,259.52
  6. Step 6: Final answer
    x = 54,693.58

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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.