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Finding the Fourth Proportional to 97,960, 135,185.88 and 53,248

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Solution

The fourth proportional to 97,960, 135,185.88 and 53,248 is: 73,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960 : 135,185.88 = 53,248 : x
  2. Step 2: Convert to fraction form
    97,960/135,185.88 = 53,248/x
  3. Step 3: Cross multiply
    97,960x = 135,185.88 × 53,248
  4. Step 4: Simplify right side
    97,960x = 7,198,377,738.24
  5. Step 5: Solve for x
    x = 7,198,377,738.24/97,960
  6. Step 6: Final answer
    x = 73,482.83

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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.