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Finding the Fourth Proportional to 70,536.42, 97,333.17 and 42,241.38

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Solution

The fourth proportional to 70,536.42, 97,333.17 and 42,241.38 is: 58,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,536.42 : 97,333.17 = 42,241.38 : x
  2. Step 2: Convert to fraction form
    70,536.42/97,333.17 = 42,241.38/x
  3. Step 3: Cross multiply
    70,536.42x = 97,333.17 × 42,241.38
  4. Step 4: Simplify right side
    70,536.42x = 4,111,487,420.57
  5. Step 5: Solve for x
    x = 4,111,487,420.57/70,536.42
  6. Step 6: Final answer
    x = 58,288.86

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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.