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Finding the Fourth Proportional to 35,686.50, 49,246.27 and 19,770.67

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Solution

The fourth proportional to 35,686.50, 49,246.27 and 19,770.67 is: 27,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.50 : 49,246.27 = 19,770.67 : x
  2. Step 2: Convert to fraction form
    35,686.50/49,246.27 = 19,770.67/x
  3. Step 3: Cross multiply
    35,686.50x = 49,246.27 × 19,770.67
  4. Step 4: Simplify right side
    35,686.50x = 973,631,752.90
  5. Step 5: Solve for x
    x = 973,631,752.90/35,686.50
  6. Step 6: Final answer
    x = 27,282.92

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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.