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Finding the Fourth Proportional to 35,733.68, 49,315.50 and 19,823.25

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Solution

The fourth proportional to 35,733.68, 49,315.50 and 19,823.25 is: 27,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733.68 : 49,315.50 = 19,823.25 : x
  2. Step 2: Convert to fraction form
    35,733.68/49,315.50 = 19,823.25/x
  3. Step 3: Cross multiply
    35,733.68x = 49,315.50 × 19,823.25
  4. Step 4: Simplify right side
    35,733.68x = 977,593,485.38
  5. Step 5: Solve for x
    x = 977,593,485.38/35,733.68
  6. Step 6: Final answer
    x = 27,357.77

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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.