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Finding the Fourth Proportional to 29,784, 41,178.72 and 28,478.40

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Solution

The fourth proportional to 29,784, 41,178.72 and 28,478.40 is: 39,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784 : 41,178.72 = 28,478.40 : x
  2. Step 2: Convert to fraction form
    29,784/41,178.72 = 28,478.40/x
  3. Step 3: Cross multiply
    29,784x = 41,178.72 × 28,478.40
  4. Step 4: Simplify right side
    29,784x = 1,172,704,059.65
  5. Step 5: Solve for x
    x = 1,172,704,059.65/29,784
  6. Step 6: Final answer
    x = 39,373.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.