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Finding the Fourth Proportional to 65,713.20, 98,569.80 and 30,721.20

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Solution

The fourth proportional to 65,713.20, 98,569.80 and 30,721.20 is: 46,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.20 : 98,569.80 = 30,721.20 : x
  2. Step 2: Convert to fraction form
    65,713.20/98,569.80 = 30,721.20/x
  3. Step 3: Cross multiply
    65,713.20x = 98,569.80 × 30,721.20
  4. Step 4: Simplify right side
    65,713.20x = 3,028,182,539.76
  5. Step 5: Solve for x
    x = 3,028,182,539.76/65,713.20
  6. Step 6: Final answer
    x = 46,081.80

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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.