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Finding the Fourth Proportional to 35,713.71, 49,290.39 and 22,798.57

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Solution

The fourth proportional to 35,713.71, 49,290.39 and 22,798.57 is: 31,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.71 : 49,290.39 = 22,798.57 : x
  2. Step 2: Convert to fraction form
    35,713.71/49,290.39 = 22,798.57/x
  3. Step 3: Cross multiply
    35,713.71x = 49,290.39 × 22,798.57
  4. Step 4: Simplify right side
    35,713.71x = 1,123,750,406.74
  5. Step 5: Solve for x
    x = 1,123,750,406.74/35,713.71
  6. Step 6: Final answer
    x = 31,465.52

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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.