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Finding the Fourth Proportional to 35,493.12, 53,234.64 and 20,709

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Solution

The fourth proportional to 35,493.12, 53,234.64 and 20,709 is: 31,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.12 : 53,234.64 = 20,709 : x
  2. Step 2: Convert to fraction form
    35,493.12/53,234.64 = 20,709/x
  3. Step 3: Cross multiply
    35,493.12x = 53,234.64 × 20,709
  4. Step 4: Simplify right side
    35,493.12x = 1,102,436,159.76
  5. Step 5: Solve for x
    x = 1,102,436,159.76/35,493.12
  6. Step 6: Final answer
    x = 31,060.56

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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.