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Finding the Fourth Proportional to 65,724.07, 90,699.25 and 35,509.38

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Solution

The fourth proportional to 65,724.07, 90,699.25 and 35,509.38 is: 49,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724.07 : 90,699.25 = 35,509.38 : x
  2. Step 2: Convert to fraction form
    65,724.07/90,699.25 = 35,509.38/x
  3. Step 3: Cross multiply
    65,724.07x = 90,699.25 × 35,509.38
  4. Step 4: Simplify right side
    65,724.07x = 3,220,673,818.44
  5. Step 5: Solve for x
    x = 3,220,673,818.44/65,724.07
  6. Step 6: Final answer
    x = 49,002.96

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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.