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Finding the Fourth Proportional to 35,802.33, 49,368.72 and 22,368.69

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Solution

The fourth proportional to 35,802.33, 49,368.72 and 22,368.69 is: 30,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.33 : 49,368.72 = 22,368.69 : x
  2. Step 2: Convert to fraction form
    35,802.33/49,368.72 = 22,368.69/x
  3. Step 3: Cross multiply
    35,802.33x = 49,368.72 × 22,368.69
  4. Step 4: Simplify right side
    35,802.33x = 1,104,313,593.38
  5. Step 5: Solve for x
    x = 1,104,313,593.38/35,802.33
  6. Step 6: Final answer
    x = 30,844.74

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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.