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Finding the Fourth Proportional to 35,715.89, 49,282.75 and 19,800.34

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Solution

The fourth proportional to 35,715.89, 49,282.75 and 19,800.34 is: 27,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715.89 : 49,282.75 = 19,800.34 : x
  2. Step 2: Convert to fraction form
    35,715.89/49,282.75 = 19,800.34/x
  3. Step 3: Cross multiply
    35,715.89x = 49,282.75 × 19,800.34
  4. Step 4: Simplify right side
    35,715.89x = 975,815,206.14
  5. Step 5: Solve for x
    x = 975,815,206.14/35,715.89
  6. Step 6: Final answer
    x = 27,321.60

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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.