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Finding the Fourth Proportional to 63,713.84, 87,928.10 and 35,420

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Solution

The fourth proportional to 63,713.84, 87,928.10 and 35,420 is: 48,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,713.84 : 87,928.10 = 35,420 : x
  2. Step 2: Convert to fraction form
    63,713.84/87,928.10 = 35,420/x
  3. Step 3: Cross multiply
    63,713.84x = 87,928.10 × 35,420
  4. Step 4: Simplify right side
    63,713.84x = 3,114,413,302
  5. Step 5: Solve for x
    x = 3,114,413,302/63,713.84
  6. Step 6: Final answer
    x = 48,881.27

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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.