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Finding the Fourth Proportional to 35,786.34, 49,386.57 and 20,678.50

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Solution

The fourth proportional to 35,786.34, 49,386.57 and 20,678.50 is: 28,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786.34 : 49,386.57 = 20,678.50 : x
  2. Step 2: Convert to fraction form
    35,786.34/49,386.57 = 20,678.50/x
  3. Step 3: Cross multiply
    35,786.34x = 49,386.57 × 20,678.50
  4. Step 4: Simplify right side
    35,786.34x = 1,021,240,187.75
  5. Step 5: Solve for x
    x = 1,021,240,187.75/35,786.34
  6. Step 6: Final answer
    x = 28,537.15

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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.