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Finding the Fourth Proportional to 35,708.96, 49,277.52 and 20,804

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Solution

The fourth proportional to 35,708.96, 49,277.52 and 20,804 is: 28,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.96 : 49,277.52 = 20,804 : x
  2. Step 2: Convert to fraction form
    35,708.96/49,277.52 = 20,804/x
  3. Step 3: Cross multiply
    35,708.96x = 49,277.52 × 20,804
  4. Step 4: Simplify right side
    35,708.96x = 1,025,169,526.08
  5. Step 5: Solve for x
    x = 1,025,169,526.08/35,708.96
  6. Step 6: Final answer
    x = 28,709.03

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Why These Related Problems?

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