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Finding the Fourth Proportional to 35,750.43, 49,341.42 and 19,840.01

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Solution

The fourth proportional to 35,750.43, 49,341.42 and 19,840.01 is: 27,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750.43 : 49,341.42 = 19,840.01 : x
  2. Step 2: Convert to fraction form
    35,750.43/49,341.42 = 19,840.01/x
  3. Step 3: Cross multiply
    35,750.43x = 49,341.42 × 19,840.01
  4. Step 4: Simplify right side
    35,750.43x = 978,934,019.51
  5. Step 5: Solve for x
    x = 978,934,019.51/35,750.43
  6. Step 6: Final answer
    x = 27,382.44

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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.