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Finding the Fourth Proportional to 57,784.94, 79,689.85 and 44,356.76

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Solution

The fourth proportional to 57,784.94, 79,689.85 and 44,356.76 is: 61,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.94 : 79,689.85 = 44,356.76 : x
  2. Step 2: Convert to fraction form
    57,784.94/79,689.85 = 44,356.76/x
  3. Step 3: Cross multiply
    57,784.94x = 79,689.85 × 44,356.76
  4. Step 4: Simplify right side
    57,784.94x = 3,534,783,041.54
  5. Step 5: Solve for x
    x = 3,534,783,041.54/57,784.94
  6. Step 6: Final answer
    x = 61,171.36

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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.