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Finding the Fourth Proportional to 42,663.19, 63,942.90 and 30,186.81

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Solution

The fourth proportional to 42,663.19, 63,942.90 and 30,186.81 is: 45,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,663.19 : 63,942.90 = 30,186.81 : x
  2. Step 2: Convert to fraction form
    42,663.19/63,942.90 = 30,186.81/x
  3. Step 3: Cross multiply
    42,663.19x = 63,942.90 × 30,186.81
  4. Step 4: Simplify right side
    42,663.19x = 1,930,232,173.15
  5. Step 5: Solve for x
    x = 1,930,232,173.15/42,663.19
  6. Step 6: Final answer
    x = 45,243.50

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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.