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Finding the Fourth Proportional to 49,655.60, 68,513.28 and 30,783.68

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Solution

The fourth proportional to 49,655.60, 68,513.28 and 30,783.68 is: 42,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,655.60 : 68,513.28 = 30,783.68 : x
  2. Step 2: Convert to fraction form
    49,655.60/68,513.28 = 30,783.68/x
  3. Step 3: Cross multiply
    49,655.60x = 68,513.28 × 30,783.68
  4. Step 4: Simplify right side
    49,655.60x = 2,109,090,887.27
  5. Step 5: Solve for x
    x = 2,109,090,887.27/49,655.60
  6. Step 6: Final answer
    x = 42,474.38

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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.