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Finding the Fourth Proportional to 65,915.51, 90,963.68 and 35,701.16

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Solution

The fourth proportional to 65,915.51, 90,963.68 and 35,701.16 is: 49,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915.51 : 90,963.68 = 35,701.16 : x
  2. Step 2: Convert to fraction form
    65,915.51/90,963.68 = 35,701.16/x
  3. Step 3: Cross multiply
    65,915.51x = 90,963.68 × 35,701.16
  4. Step 4: Simplify right side
    65,915.51x = 3,247,508,260.54
  5. Step 5: Solve for x
    x = 3,247,508,260.54/65,915.51
  6. Step 6: Final answer
    x = 49,267.74

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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.