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Finding the Fourth Proportional to 32,671.65, 49,007.43 and 9,298.09

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Solution

The fourth proportional to 32,671.65, 49,007.43 and 9,298.09 is: 13,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.65 : 49,007.43 = 9,298.09 : x
  2. Step 2: Convert to fraction form
    32,671.65/49,007.43 = 9,298.09/x
  3. Step 3: Cross multiply
    32,671.65x = 49,007.43 × 9,298.09
  4. Step 4: Simplify right side
    32,671.65x = 455,675,556.07
  5. Step 5: Solve for x
    x = 455,675,556.07/32,671.65
  6. Step 6: Final answer
    x = 13,947.12

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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.