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Finding the Fourth Proportional to 65,175.84, 97,691.67 and 42,659.46

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Solution

The fourth proportional to 65,175.84, 97,691.67 and 42,659.46 is: 63,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175.84 : 97,691.67 = 42,659.46 : x
  2. Step 2: Convert to fraction form
    65,175.84/97,691.67 = 42,659.46/x
  3. Step 3: Cross multiply
    65,175.84x = 97,691.67 × 42,659.46
  4. Step 4: Simplify right side
    65,175.84x = 4,167,473,888.70
  5. Step 5: Solve for x
    x = 4,167,473,888.70/65,175.84
  6. Step 6: Final answer
    x = 63,942.01

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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.