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Finding the Fourth Proportional to 35,798.94, 49,402.54 and 19,884.86

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Solution

The fourth proportional to 35,798.94, 49,402.54 and 19,884.86 is: 27,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.94 : 49,402.54 = 19,884.86 : x
  2. Step 2: Convert to fraction form
    35,798.94/49,402.54 = 19,884.86/x
  3. Step 3: Cross multiply
    35,798.94x = 49,402.54 × 19,884.86
  4. Step 4: Simplify right side
    35,798.94x = 982,362,591.54
  5. Step 5: Solve for x
    x = 982,362,591.54/35,798.94
  6. Step 6: Final answer
    x = 27,441.11

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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.