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Finding the Fourth Proportional to 65,142.81, 97,718.09 and 25,162.10

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Solution

The fourth proportional to 65,142.81, 97,718.09 and 25,162.10 is: 37,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.81 : 97,718.09 = 25,162.10 : x
  2. Step 2: Convert to fraction form
    65,142.81/97,718.09 = 25,162.10/x
  3. Step 3: Cross multiply
    65,142.81x = 97,718.09 × 25,162.10
  4. Step 4: Simplify right side
    65,142.81x = 2,458,792,352.39
  5. Step 5: Solve for x
    x = 2,458,792,352.39/65,142.81
  6. Step 6: Final answer
    x = 37,744.65

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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.