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Finding the Fourth Proportional to 42,937.53, 59,241.66 and 27,830.82

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Solution

The fourth proportional to 42,937.53, 59,241.66 and 27,830.82 is: 38,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,937.53 : 59,241.66 = 27,830.82 : x
  2. Step 2: Convert to fraction form
    42,937.53/59,241.66 = 27,830.82/x
  3. Step 3: Cross multiply
    42,937.53x = 59,241.66 × 27,830.82
  4. Step 4: Simplify right side
    42,937.53x = 1,648,743,975.96
  5. Step 5: Solve for x
    x = 1,648,743,975.96/42,937.53
  6. Step 6: Final answer
    x = 38,398.67

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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.