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Finding the Fourth Proportional to 35,685.24, 49,246.08 and 19,770

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Solution

The fourth proportional to 35,685.24, 49,246.08 and 19,770 is: 27,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.24 : 49,246.08 = 19,770 : x
  2. Step 2: Convert to fraction form
    35,685.24/49,246.08 = 19,770/x
  3. Step 3: Cross multiply
    35,685.24x = 49,246.08 × 19,770
  4. Step 4: Simplify right side
    35,685.24x = 973,595,001.60
  5. Step 5: Solve for x
    x = 973,595,001.60/35,685.24
  6. Step 6: Final answer
    x = 27,282.85

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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.