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Finding the Fourth Proportional to 35,776.40, 49,369.10 and 22,346.87

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Solution

The fourth proportional to 35,776.40, 49,369.10 and 22,346.87 is: 30,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.40 : 49,369.10 = 22,346.87 : x
  2. Step 2: Convert to fraction form
    35,776.40/49,369.10 = 22,346.87/x
  3. Step 3: Cross multiply
    35,776.40x = 49,369.10 × 22,346.87
  4. Step 4: Simplify right side
    35,776.40x = 1,103,244,501.14
  5. Step 5: Solve for x
    x = 1,103,244,501.14/35,776.40
  6. Step 6: Final answer
    x = 30,837.22

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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.