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Finding the Fourth Proportional to 32,448, 48,677.27 and 12,715.86

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Solution

The fourth proportional to 32,448, 48,677.27 and 12,715.86 is: 19,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448 : 48,677.27 = 12,715.86 : x
  2. Step 2: Convert to fraction form
    32,448/48,677.27 = 12,715.86/x
  3. Step 3: Cross multiply
    32,448x = 48,677.27 × 12,715.86
  4. Step 4: Simplify right side
    32,448x = 618,973,286.92
  5. Step 5: Solve for x
    x = 618,973,286.92/32,448
  6. Step 6: Final answer
    x = 19,075.85

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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.