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Finding the Fourth Proportional to 97,017.42, 133,900.38 and 56,175.60

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Solution

The fourth proportional to 97,017.42, 133,900.38 and 56,175.60 is: 77,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,017.42 : 133,900.38 = 56,175.60 : x
  2. Step 2: Convert to fraction form
    97,017.42/133,900.38 = 56,175.60/x
  3. Step 3: Cross multiply
    97,017.42x = 133,900.38 × 56,175.60
  4. Step 4: Simplify right side
    97,017.42x = 7,521,934,186.73
  5. Step 5: Solve for x
    x = 7,521,934,186.73/97,017.42
  6. Step 6: Final answer
    x = 77,531.79

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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.