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Finding the Fourth Proportional to 76,448.31, 114,497.88 and 36,495.40

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Solution

The fourth proportional to 76,448.31, 114,497.88 and 36,495.40 is: 54,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448.31 : 114,497.88 = 36,495.40 : x
  2. Step 2: Convert to fraction form
    76,448.31/114,497.88 = 36,495.40/x
  3. Step 3: Cross multiply
    76,448.31x = 114,497.88 × 36,495.40
  4. Step 4: Simplify right side
    76,448.31x = 4,178,645,506.65
  5. Step 5: Solve for x
    x = 4,178,645,506.65/76,448.31
  6. Step 6: Final answer
    x = 54,659.75

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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.