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Finding the Fourth Proportional to 42,135.26, 63,202.89 and 10,970.54

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Solution

The fourth proportional to 42,135.26, 63,202.89 and 10,970.54 is: 16,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135.26 : 63,202.89 = 10,970.54 : x
  2. Step 2: Convert to fraction form
    42,135.26/63,202.89 = 10,970.54/x
  3. Step 3: Cross multiply
    42,135.26x = 63,202.89 × 10,970.54
  4. Step 4: Simplify right side
    42,135.26x = 693,369,832.86
  5. Step 5: Solve for x
    x = 693,369,832.86/42,135.26
  6. Step 6: Final answer
    x = 16,455.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.