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Finding the Fourth Proportional to 35,673.09, 49,223.61 and 20,564.57

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Solution

The fourth proportional to 35,673.09, 49,223.61 and 20,564.57 is: 28,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.09 : 49,223.61 = 20,564.57 : x
  2. Step 2: Convert to fraction form
    35,673.09/49,223.61 = 20,564.57/x
  3. Step 3: Cross multiply
    35,673.09x = 49,223.61 × 20,564.57
  4. Step 4: Simplify right side
    35,673.09x = 1,012,262,127.38
  5. Step 5: Solve for x
    x = 1,012,262,127.38/35,673.09
  6. Step 6: Final answer
    x = 28,376.07

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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.