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Finding the Fourth Proportional to 32,804.41, 49,214.43 and 10,617.79

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Solution

The fourth proportional to 32,804.41, 49,214.43 and 10,617.79 is: 15,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.41 : 49,214.43 = 10,617.79 : x
  2. Step 2: Convert to fraction form
    32,804.41/49,214.43 = 10,617.79/x
  3. Step 3: Cross multiply
    32,804.41x = 49,214.43 × 10,617.79
  4. Step 4: Simplify right side
    32,804.41x = 522,548,605.75
  5. Step 5: Solve for x
    x = 522,548,605.75/32,804.41
  6. Step 6: Final answer
    x = 15,929.22

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1.5x scale

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.