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Finding the Fourth Proportional to 35,828.46, 49,421.34 and 23,098.50

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Solution

The fourth proportional to 35,828.46, 49,421.34 and 23,098.50 is: 31,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,828.46 : 49,421.34 = 23,098.50 : x
  2. Step 2: Convert to fraction form
    35,828.46/49,421.34 = 23,098.50/x
  3. Step 3: Cross multiply
    35,828.46x = 49,421.34 × 23,098.50
  4. Step 4: Simplify right side
    35,828.46x = 1,141,558,821.99
  5. Step 5: Solve for x
    x = 1,141,558,821.99/35,828.46
  6. Step 6: Final answer
    x = 31,861.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.