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Finding the Fourth Proportional to 86,448, 119,298.24 and 46,704

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Solution

The fourth proportional to 86,448, 119,298.24 and 46,704 is: 64,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,448 : 119,298.24 = 46,704 : x
  2. Step 2: Convert to fraction form
    86,448/119,298.24 = 46,704/x
  3. Step 3: Cross multiply
    86,448x = 119,298.24 × 46,704
  4. Step 4: Simplify right side
    86,448x = 5,571,705,000.96
  5. Step 5: Solve for x
    x = 5,571,705,000.96/86,448
  6. Step 6: Final answer
    x = 64,451.52

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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.