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Finding the Fourth Proportional to 127,356.93, 191,118.32 and 48,471.84

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Solution

The fourth proportional to 127,356.93, 191,118.32 and 48,471.84 is: 72,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,356.93 : 191,118.32 = 48,471.84 : x
  2. Step 2: Convert to fraction form
    127,356.93/191,118.32 = 48,471.84/x
  3. Step 3: Cross multiply
    127,356.93x = 191,118.32 × 48,471.84
  4. Step 4: Simplify right side
    127,356.93x = 9,263,856,385.75
  5. Step 5: Solve for x
    x = 9,263,856,385.75/127,356.93
  6. Step 6: Final answer
    x = 72,739.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.