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Finding the Fourth Proportional to 97,975.62, 147,028.96 and 35,646.12

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Solution

The fourth proportional to 97,975.62, 147,028.96 and 35,646.12 is: 53,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,975.62 : 147,028.96 = 35,646.12 : x
  2. Step 2: Convert to fraction form
    97,975.62/147,028.96 = 35,646.12/x
  3. Step 3: Cross multiply
    97,975.62x = 147,028.96 × 35,646.12
  4. Step 4: Simplify right side
    97,975.62x = 5,241,011,951.64
  5. Step 5: Solve for x
    x = 5,241,011,951.64/97,975.62
  6. Step 6: Final answer
    x = 53,493.02

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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.